Question

4. Use the Power Rule of Exponents to simplify (9^3)^6. Answer in exponent form.

Answer 1

To simplify \((9^3)^6\) using the Power Rule of Exponents, which states that \((a^m)^n = a^{m \cdot n}\), we can apply this rule as follows:

\[
(9^3)^6 = 9^{3 \cdot 6}
\]

Now, we calculate the exponent:

\[
3 \cdot 6 = 18
\]

So, we have:

\[
(9^3)^6 = 9^{18}
\]

The simplified answer in exponent form is:

\[
9^{18}
\]