Question
Using the power rule of exponents, what is the whole number exponent in an equivalent form of (5 to the 6th power) to the power of 2
Answers
GPT-4o mini
To simplify \((5^6)^2\) using the power rule of exponents, you multiply the exponents. According to the power rule, \((a^m)^n = a^{m \cdot n}\).
So, we have:
\[
(5^6)^2 = 5^{6 \cdot 2} = 5^{12}
\]
Thus, the whole number exponent in the equivalent form is \(12\).
So, we have:
\[
(5^6)^2 = 5^{6 \cdot 2} = 5^{12}
\]
Thus, the whole number exponent in the equivalent form is \(12\).