Simplify to a single power of 6:

Question

left parenthesis, 6, cubed, right parenthesis, to the power 5
(6
3
)
5

Answer 1

To simplify \((6^3)^5\), we can use the power of a power rule, which states:

\[ (a^m)^n = a^{m \cdot n} \]

Applying this rule:

\[ (6^3)^5 = 6^{3 \cdot 5} \]

Now, calculate \(3 \cdot 5\):

\[ 3 \cdot 5 = 15 \]

So, we have:

\[ (6^3)^5 = 6^{15} \]

Thus, the simplified expression is:

\[ \boxed{6^{15}} \]