use the power of export is the simplify the expression (78^8)^6

Answer 1

To simplify the expression \((78^8)^6\) using the power of a power property of exponents, you can multiply the exponents. The property states that \((a^m)^n = a^{m \cdot n}\).

Applying this to your expression:

\[ (78^8)^6 = 78^{8 \cdot 6} = 78^{48} \]

So, the simplified expression is:

\[ 78^{48} \]