Use the Power Rule of Exponents to simplify the expression: (x^6)^5

Answer 1

To simplify the expression \((x^6)^5\) using the Power Rule of Exponents, which states that \((a^m)^n = a^{m \cdot n}\), we can apply this rule as follows:

\[ (x^6)^5 = x^{6 \cdot 5} \]

Now, calculate the exponent:

\[ 6 \cdot 5 = 30 \]

Thus, we have:

\[ (x^6)^5 = x^{30} \]

So, the simplified expression is:

\[ \boxed{x^{30}} \]