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

Answer 1

To simplify the expression, we apply the power rule of exponents: $(a^m)^n = a^{mn}$. In this case, $a=78^8$ and $n=6$, so we have $(78^8)^6 = 78^{8\cdot 6} = 78^{48}$.

Thus, the simplified expression is $78^{48}$.

Answer 2

can you simplify this better?

Answer 3

To simplify the expression further, we can rewrite $78^{48}$ as $(6\cdot 13)^{48}$. Applying the power rule again, we get $(6\cdot 13)^{48} = 6^{48}\cdot 13^{48}$.

So, the simplified expression is $6^{48}\cdot 13^{48}$.