Question

Which expression is correctly developed to use the Power Rule of Exponents?(1 point)
Responses

(−5)^0
left parenthesis negative 5 right parenthesis superscript 0 baseline

(7^8)⋅(7^10)
left parenthesis 7 superscript 8 baseline right parenthesis times left parenthesis 7 superscript 10 baseline right parenthesis

(7^4)^8
left parenthesis 7 superscript 4 baseline right parenthesis superscript 8 baseline

12^9

Answer 1

Which of the following correctly used the Power Rule of Exponents in the expression (10^9)^7?(1 point)
Responses

10^63
10 superscript 63 baseline

10^16
10 superscript 16 baseline

90^7
90 superscript 7 baseline

10^2

Answer 2

If the expression 410 was simplified using the Power Rule of Exponents, what is an equivalent expanded expression? (1 point)
Responses

(4^5)^2
left parenthesis 4 superscript 5 baseline right parenthesis squared

(4^2)^8
left parenthesis 4 squared right parenthesis superscript 8 baseline

(4^12)^2
left parenthesis 4 superscript 12 baseline right parenthesis squared

4⋅4⋅4⋅4⋅4⋅4⋅4
4 times 4 times 4 times 4 times 4 times 4 times 4

Answer 3

Use the Power Rule of Exponents to create an expression equivalent to (15^6)^2.(1 point)
Responses

15^4
15 superscript 4 baseline

15^8
15 superscript 8 baseline

15^12
15 superscript 12 baseline

15^3
15 cubed

Answer 4

What exponent would make the two expressions equivalent: (3^3)x=3^24?(1 point)
Responses

8
8

21
21

27
27

15
15

Answer 5

Twelve superscript 9 baseline

Answer 6

10 superscript 63 baseline

Answer 7

(4^5)^2

Answer 8

(15^6)^2 = 15^(6*2) = 15^12

Answer 9

To find the exponent that would make the two expressions equivalent, we can set the exponents equal to each other:

3^3x = 3^24

Since the bases (3) are the same, we can equate the exponents:

3x = 24

Now we can solve for x:

x = 24/3

x = 8

Therefore, the exponent that would make the two expressions equivalent is 8.