Simplify to a single power of 2:

Question

left parenthesis, 2, to the power 4 , right parenthesis, to the power 5
(2
4
)
5

Answer 1

To simplify \((2^4)^5\), you can use the power of a power property, which states that \((a^m)^n = a^{m \cdot n}\).

Applying this property:

\[ (2^4)^5 = 2^{4 \cdot 5} = 2^{20} \]

Thus, the simplified form is:

\[ 2^{20} \]