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

Question

.(1 point)

Answer 1

To simplify the expression \( (78^8)^6 \) using the Power Rule of Exponents, which states that \( (a^m)^n = a^{m \cdot n} \), we can apply this rule as follows:

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

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

\[ 8 \cdot 6 = 48 \]

So, we have:

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

Thus, the simplified expression is:

\[ \boxed{78^{48}} \]