Which expressions are equivalent to 7^-2•7^6

Choose two answers

A.7^2/7^-2

B.7^6/7^-2

C.7^-12

D.(7^2)^2

Answers

Answer 1
2 Answers: Choice A, Choice D

===========================================

Explanation:

The expression 7^(-2)*7^6 simplifies to 7^4

We use the rule a^b*a^c = a^(b+c). In this case a = 7, b = -2, c = 6

In short, we add the exponents.

----------

In choice A, we use the rule (a^b)/(a^c) = a^(b-c) where we're now subtracting the exponents.

Here we have the exponents subtract to b-c = 2-(-2) = 2+2 = 4. This shows that (7^2)/(7^(-2)) = 7^4

This is why choice A is one equivalent expression.

----------

Choice D is the other equivalent expression since

(7^2)^2 = 7^(2*2) = 7^4

The rule used here is (a^b)^c = a^(b*c). We're multiplying exponents now.

-----------

Alternatively you can find that 7^(-2)*7^6 = 2401 through use of a calculator.

Then go through each answer choice to see which also produce a result of 2401.


Related Questions

Why is the value of a substance’s specific gravity always the same numerically as its density?
HELP ME PLEASE!!!
Because it is always the substance’s density divided by the density of water which is 1 g/cm 3
Because it is always the substance’s density multiplied by the density of water which is 1 g/cm 3
Because specific gravity is the inverse of density
Because these represent the same measurement

Answers

greetings i may be late but yes answer A is correct

Option A is correct, Because it is always the substance’s density divided by the density of water which is 1 g/cm 3

What is Density?

The density, or more precisely, the volumetric mass density, of a substance is its mass per unit volume.

Given that the value of a substance’s specific gravity always the same numerically as its density.

Because density has units and specific gravity is dimensionless, the two are never the same, but they are numerically equal when three conditions are met

Density is measured in grammes per cubic centimetre, grammes per millilitre, or kilogrammes per litre

Density and Specific Gravity are measured at the same temperature

Hence, option A is correct, Because it is always the substance’s density divided by the density of water which is 1 g/cm 3

To learn more on Density click:

https://brainly.com/question/29775886

#SPJ2

Are the two triangles congruent? Why or why not?

Answers

Answer:I think yes, not sure tho

Step-by-step explanation:

Answer:

no because they arent the same size

Step-by-step explanation:

Is reported is a linking verb or an action verb or a being verb need help ASAP 100 points

Answers

Answer:

Action verb

Step-by-step explanation:

Reported is an action verb

Answer: I'm pretty sure it's and action verb

Step-by-step explanation: a linking verb is something that brings the sentence together but an action verb is when you're doing something. Reporting is an action

Plssss help me :( ASAP

Answers

What are we supposed to be doing

3
What is the approximate
distance between points
(-7, 2) and (11,-5)?
a) 18.36 units
b) 19.31 units
c) 18.25 units
d) 10.31 units
e) 8.06 units

Answers

I’m pretty sure it’s B, 19.31 units. I hope this helps :)

9514 1404 393

Answer:

  b)  19.31 units

Step-by-step explanation:

The distance formula is useful for this.

  d = √((x2 -x1)² +(y2-y1)²)

  d = √((11 -(-7))² +(-5-2)²) = √(18² +(-7)²) = √373

  d ≈ 19.31 . . . units

What is 3x+7x=9-18? Math is confusing once you get into 7th grade.

Answers

Answer:

x-(-0.9)

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation::3*x+7*x-(9-18)=0

Solve::10x+9 = 0

Subtract 9 from both sides of the equation::10x = -9

Divide both sides of the equation by 10::x = -9/10 = -0.900

Answer:

x = -0.9

Step-by-step explanation:

3x+7x=9-18

10x = -9

x = -9 / 10

x = -0.9

Which equation represents an exponential function with an initial value of 500?
f(x) = 100(5)
f(x) = 100(x)5
f(x) = 500(2)
f(x) = 500(x)2
ОО

Answers

The answer fam is..... f(x) = 500(2)

Answer:

C.F(x) = 500(2)

Step-by-step explanation:

please help important!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The initial fee of $12 would be the y-intercept because no matter how many boxes of cards you buy, the fee stays the same. The slope would be $3.99 because that fee is charged per box. The 100 cards per box is extra information and not needed in the equation. D is the only logical choice.

Use algebra titles to solve x + 7 = 9.

Answers

Answer:

2

Step-by-step explanation:

9-7=2

Answer:

x = 2

Step-by-step explanation:

Subtract 7 from both sides.

[tex]x+7=9\\\\x+7-7=9-7\\\\\boxed{x=2}[/tex]

Hope this helps.

Sam counted his heartbeats while resting. His heart beat 220 times in 4 minutes. Sam's heart beat at the same rate for the 4 minutes. Complete the ratio of beats to minutes.

Answers

Answer:

220 to 4

Step-by-step explanation:

Your welcome


(4+5)(4-51) =
please help i don’t feel like doing math rn

Answers

Answer:

423

Step-by-step explanation:

Answer:

-423

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

Which student correctly translated the phrase "twice the sum of a number cubed and nine" and evaluated it for r = 3?
Antonio's work Jessica's work Maria's work Mark's work
2(r + 9)
2(r+ 9) 2+p3 +9 2 + 3r + 9
2(3 + 9)
2(3' + 9)
2 + 3² +9 2 + 3(3) +9
O
2(9+ 9)
2(27+ 9) 2 + 27 + 9
2 + 9 + 9
2(18)
2(36)
29 + 9
11 + 9
36
(72
38
20
O

Answers

Answer:

answer is B

Step-by-step explanation:

i did it in e2022

person above me gets brainliest

Question 2 (5 points)
(07.02)
Simplify (3x - 5) + (3x + 6). (1 point)
Оа
бx - 1

1
Ос
бx - 11
Od
бx + 1

Answers

(3x-5) + (3x+6) can be simplified to 6x-1. Just combine like terms to find your answer!

Answer:

Option d: 6x +1

Step-by-step explanation:

Item 11 You buy 2.6 pounds of apples and 1.475 pounds of peaches. You hand the cashier a $20 bill. How much change will you receive? You will receive $ change.

Answers

Answer:

$14.90625

Step-by-step explanation:

Using the conversion rate

$1 = 0.8 pounds

If you buy 2.6 pounds of apples and 1.475 pounds of peaches, the total cost of apple and peaches is expressed as:

= 2.6 pounds + 1.475 pounds

= 4.075 pounds

Convert to dollars

$1 = 0.8 pounds

$x = 4.075 pounds

cross multiply

0.8x = 4.075

x = 4.075/0.8

x = $5.09375

This means that the cost of the apple and peaches is $5.09375.

If you hand the cashier a $20 bill, the change that you will receive will be: $20 - $5.09375 = $14.90625

find the perimeter of an equilateral triangle with side 8 ​

Answers

Answer:

perimeter is equal to 24.

PLZ HELP
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.

Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)
Step 2: m∠p − m∠o = 90 degrees (alternate interior angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p
Step 4: So, m∠m + m∠n = m∠p

In which step did the student first make a mistake and how can it be corrected? (4 points)

a
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles)

b
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)

c
Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles)

d
Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)

I think its c

Answers

Step-by-step explanation:

yes your answer is correct it's C

Find The Value Of X When 6-2x = 6x-10x+6. The Value Is

Answers

Answer:

x = 0

Step-by-step explanation:

6 - 2x = 6x - 10x + 6

1. Isolate the variable (x)

Add 2x to both sides

    6 - 2x = 6x - 10x + 6 -> 6 = 6x - 10x + 2x + 6

Subtract 6 from both sides

    6x - 10x + 2x + 6 -> 0 = 6x - 10x + 2x

2. Combine like terms

      0 = 6x - 10x + 2x -> 0 = -2x

3. Solve

Divide both sides by -2

       0 = x

*Note: 0 divided by anything is 0 so 0/-2 is 0

(unless it is 0/0 which equals 1)

simplify 9x^2y^-3 for x=5 and y=3

Answers

Answer:

8 1/3 or 25/3

Step-by-step explanation:

Answer:

Exact Form: 25/3

Decimal Form: 8.3r (r = repeating)

Mixed Number Form: 8 1/3

which is true regardless the graphed function f(x)​

Answers

Where are the choices?

If $a$ is the $x$-intercept, $b$ is the $y$-intercept, and $m$ is the slope of the line with equation $\frac{x}4 + \frac{y}{12} = 1$, then what is the value of $a + b + m$?

Answers

Answer:

AAA

Step-by-step explanation:

GET ECKED

Answer:

13

Step-by-step explanation:

This is my first time posting, so sorry if this isn't that clear.

Anyways:

We want to find the x-intercept, and the y-intercept. The x-intercept will always have 0 as y, and the y-intercept will always have 0 as x.

We can find the x-intercept by plugging in 0 as y. So:

x/4+0/12=1

x/4=1

x=4

a=4 (since a is equal to the x-intercept.)

We can find the y intercept by plugging in x as 0:

0/4+y/12=1

y/12=1

y=12

b=12

We can find the slope by using the equation y2-y1/x2-x1, but theres an easier way. Simplifying the original equation x/4+y/12=1 into y=--3x+12 immediatly gets us the slope of -3.

So, 12+4-3=13.

(In case you didn't know how I got y=-3x+12. This is how:

x/4+y/12=1

12(x/4+y/12)=1(12)

3x+y=12

y=-3x+12 )

Select the correct answer. Given: ∆ABC Prove: A midsegment of ∆ABC is parallel to a side of ∆ABC. Statement Reason 1. Define the vertices of ∆ABC to have unique points A(x1, y1), B(x2, y2), and C(x3, y3). given 2. Let D be the midpoint of and E be the midpoint of . defining midpoints 3. definition of midpoints 4. slope of slope of definition of slope 5. slope of = slope of Transitive Property of Equality 6. definition of parallel lines 7. Let F be the midpoint of . defining a midpoint 8. definition of midpoint 9. slope of slope of definition of slope 10. 11. definition of parallel lines 12. Similarly, is parallel to . steps similar to steps 1−11 What is the missing step in this proof? A. Statement: slope of = slope of Reason: definition of slope B. Statement: slope of = slope of Reason: Transitive Property of Equality C. Statement: DF = BC Reason: Corresponding sides of congruent triangles are congruent. D. Statement: ∆ADF ≅ ∆ABC Reason: ASA

Answers

Answer:

B) Statement: slope of df  = slope of bc

Reason: Transitive Property of Equality

Step-by-step explanation: i just took the test.

Answer:

C. Transitive Property of Equality

Step-by-step explanation:

Candice paid her parents $45 for rent and divided the rest of her paycheck evenly into a checking account,a savings account,and a retirement fund.She put $192 in her savings account
A.Write an equation to represent the situation



B.How much was Candice paid

Answers

(x - 45) / 3 = 192

Let's solve for x to find how much Candice was paid. Multiply both sides by 3

(x - 45) = 576

Add 45 to both sides.

x = 621

Candice was paid $621

What is the approximate percent increase when the population of a town increases from 12,089 to 15,025? Round the population amounts to the nearest thousand to find an estimate of the percent increase.
The percent increase is approximately 10%.
The percent increase is approximately 25%.
The percent increase is approximately 33%.
The percent increase is approximately 80%.

Answers

Answer:

The percent increase is approximately 10%

Step-by-step explanation:

so in other words a is correct!

Answer:

B

Step-by-step explanation:

Took the test on Edg. Gotten it correct

Step 1: m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle) Step 2: m∠w − m∠z = 90 degrees (corresponding angles) Step 3: Therefore, m∠x + m∠y + m∠z = m∠w + m∠z Step 4: So, m∠x + m∠y = m∠w

Answers

Step 1: m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle) Step 2: m∠w − m∠z = 90 degrees (corresponding angles) Step 3: Therefore, m∠x + m∠y + m∠z = m∠w + m∠z Step 4: So, m∠x + m∠y = m∠w

Answer:

Step 1

Step-by-step explanation:

A purse is on sale for $25.60. If the original price of the purse was $32.00,what is the percent of discount?

Answers

Answer:

20%

Step-by-step explanation:

The dollar amount of the discount is $32.00 - $25.60 = $6.40

Now we need to find what percent of $32.00 is $6.40.

To find what percent a part is from a whole, divide the part by the whole and multiply by 100%.

percent = part/whole * 100%

part = $6.40

whole = $32.00

percent = $6.40/$32.00 * 100%

percent = 20%

Fairly easy question




What is the solution to this system of equations?
x − 2y = 15
2x + 4y = -18
A.
x = 1, y = -6
B.
x = 1, y = -7
C.
x = 3, y = -6
D.
x = 3, y = -7

Answers

Answer:

C. x=3 and y=−6

Step-by-step explanation:

Step: Solvex−2y=15for x:

x−2y=15

x−2y+2y=15+2y(Add 2y to both sides)

x=2y+15

Step: Substitute2y+15forxin2x+4y=−18:

2x+4y=−18

2(2y+15)+4y=−18

8y+30=−18(Simplify both sides of the equation)

8y+30+−30=−18+−30(Add -30 to both sides)

8y=−48

8y8=−488(Divide both sides by 8)

y=−6

Step: Substitute−6foryinx=2y+15:

x=2y+15

x=(2)(−6)+15

x=3(Simplify both sides of the equation)

Answer:

x=3 and y=−6

-1 2/7 + 4 i really need to answer this.

Answers

Answer:

5 29/100

Step-by-step explanation:

google helps

Answer:

n = 5/4

Step-by-step explanation:

What unit of metric of length is used in the machine manufacturing industry? for brainliest

Answers

Answer: In the metric system, it is the millimeter.

Step-by-step explanation:

PLEASE HELP IM CHECKING MY ANSWERS!!!

Answers

Answer:

y=5x

Step-by-step explanation:

yes your correct

A)

Solve for r.
19.72 = 4r

Answers

Answer: R = 4.93

Step-by-step explanation:

19.72/4 = 4.93

Hope the answer helps!!!
:)
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