Question

Use the Power Rule of Exponents to simplify (10 rasied to the power of 3) rasied to the power of 6 .

Answer 1

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

Applying this rule:

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

Now calculate the exponent:

\[
3 \cdot 6 = 18
\]

Thus, we have:

\[
(10^3)^6 = 10^{18}
\]

So the simplified form is:

\[
10^{18}
\]