Use the power of exponents to simplify the expression (6^2)^4

Answer 1

To simplify the expression \((6^2)^4\), we can use the power of a power property of exponents. This property states that \((a^m)^n = a^{m \cdot n}\).

Applying this property:

\[ (6^2)^4 = 6^{2 \cdot 4} \]

Calculating the exponent:

\[ 2 \cdot 4 = 8 \]

Thus, we have:

\[ (6^2)^4 = 6^8 \]

The simplified expression is:

\[ 6^8 \]