Use the Power Rule of Exponents to simplify the expression (78 raised to the 8 power) raised to the 6 power

Answer 1

To simplify the expression \((78^8)^6\) using the Power Rule of Exponents, you apply the rule that states \((a^m)^n = a^{m \cdot n}\).

In this case, you have:

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

Now, calculate \(8 \cdot 6\):

\[ 8 \cdot 6 = 48 \]

Thus,

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

So the simplified expression is:

\[ 78^{48} \]