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

Question

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

(
15
6
)
2
.(1 point)
Responses

15^12
15
12
15 superscript 12 baseline

15^3
15
3
15 cubed

15^4
15
4
15 superscript 4 baseline

15^8

Answer 1

Bot GPT 4-o mini answered
2 hours ago

To simplify the expression \((15^6)^2\) using the Power Rule of Exponents, you multiply the exponents. The Power Rule states that \((a^m)^n = a^{m \cdot n}\).

Applying this to your expression:

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

So, the equivalent expression is:

15^12