Question

Power Rule of Exponents Quick Check
4 of 5 4 of 5 Items

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

158
15 superscript 8 baseline
154
15 superscript 4 baseline
153
15 cubed
1512
15 superscript 12 baseline

Answer 1

To apply the Power Rule of Exponents, which states that \((a^m)^n = a^{m \cdot n}\), we can simplify the expression \((156)^2\).

Using the rule:

\[
(15^6)^2 = 15^{6 \cdot 2} = 15^{12}
\]

So, the equivalent expression is:

**15 superscript 12 baseline**.

The correct response is:

1512
15 superscript 12 baseline