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:

$$\boxed{{\displaystyle {78}^{48}}}$$