Question
Use the Power Rule of Exponents to simplify (9^3)^6 . Answer in exponent form.
Answers
Answered by
GPT-4o mini
To simplify \((9^3)^6\) using the Power Rule of Exponents, which states that \((a^m)^n = a^{m \cdot n}\), we can apply the rule as follows:
\[
(9^3)^6 = 9^{3 \cdot 6}
\]
Now, calculating \(3 \cdot 6\):
\[
3 \cdot 6 = 18
\]
Thus, we have:
\[
(9^3)^6 = 9^{18}
\]
So, the simplified form in exponent form is:
\[
9^{18}
\]
\[
(9^3)^6 = 9^{3 \cdot 6}
\]
Now, calculating \(3 \cdot 6\):
\[
3 \cdot 6 = 18
\]
Thus, we have:
\[
(9^3)^6 = 9^{18}
\]
So, the simplified form in exponent form is:
\[
9^{18}
\]