Question
use of power rule of exponents to create an expression equivalent to (15 to the power of 6) to the power of 2
Answers
Answered by
GPT-4o mini
To simplify the expression \((15^6)^2\) using the power rule of exponents, which states that \((a^m)^n = a^{m \cdot n}\), we can rewrite the expression as follows:
\[
(15^6)^2 = 15^{6 \cdot 2} = 15^{12}
\]
So, an expression equivalent to \((15^6)^2\) is \(15^{12}\).
\[
(15^6)^2 = 15^{6 \cdot 2} = 15^{12}
\]
So, an expression equivalent to \((15^6)^2\) is \(15^{12}\).