Question

Use the Power Rule of Exponents to simplify (10^3)^6
. Your answer should include an exponent.

Answer 1

To simplify \((10^3)^6\) using the Power Rule of Exponents, which states that \((a^m)^n = a^{m \cdot n}\), we apply the rule as follows:

\[
(10^3)^6 = 10^{3 \cdot 6}
\]

Calculating the exponent:

\[
3 \cdot 6 = 18
\]

So, the expression simplifies to:

\[
10^{18}
\]

Thus, \((10^3)^6\) simplifies to \(10^{18}\).