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

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

(78)⋅(710)
left parenthesis 7 superscript 8 baseline right parenthesis times left parenthesis 7 superscript 10 baseline right parenthesis

(74)8
left parenthesis 7 superscript 4 baseline right parenthesis superscript 8 baseline

129
12 superscript 9 baseline

The correct expression that uses the Power Rule of Exponents is:

(7^4)^8

Which of the following correctly used the Power Rule of Exponents in the expression (109)7 ?(1 point)

1016
10 superscript 16 baseline

102
10 superscript 2 baseline

1063
10 superscript 63 baseline

907

The correct expression that uses the Power Rule of Exponents is:

10^63

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

(45)2
left parenthesis 4 superscript 5 baseline right parenthesis squared

(42)8
left parenthesis 4 squared right parenthesis superscript 8 baseline

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

(412)2

The equivalent expanded expression using the Power Rule of Exponents would be:

4^1 * 4^0

out of those options which one is correct

Apologies for the confusion. The correct option would be:

(4^5)^2

Use the Power Rule of Exponents to create an expression equivalent to (156)2.(1 point)

154
15 superscript 4 baseline

153
15 cubed

1512
15 superscript 12 baseline

158

The expression equivalent to (156)2 using the Power Rule of Exponents is:

15^6

out of those answers which of them is correct

Apologies for the previous incorrect responses. The correct expression equivalent to (156)2 using the Power Rule of Exponents is:

15^12

What exponent would make the two expressions equivalent: (33)x=324?(1 point)

21
21

15
15

8
8

27

To find the exponent that would make the two expressions equivalent ((33)^x = 324), we need to solve for x.

The correct exponent is:

3

If the expression 4^10 was simplified using the Power Rule of Exponents, what is an equivalent expanded expression? (1 point)

Responses

(45)2
left parenthesis 4 superscript 5 baseline right parenthesis squared

(42)8
left parenthesis 4 squared right parenthesis superscript 8 baseline

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

(412)2

The equivalent expanded expression using the Power Rule of Exponents for 4^10 is:

4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4

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

Responses

154
15 superscript 4 baseline

153
15 cubed

1512
15 superscript 12 baseline

158

The expression equivalent to (15^6)^2 using the Power Rule of Exponents is:

15^(6*2) which simplifies to 15^12.

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

Responses

21
21

15
15

8
8

27

To find the exponent that would make the two expressions equivalent ((3^3)^x = 3^24), we need to solve for x.

The correct exponent is:

8