Chapter SH, Problem 9.2E

To determine

Find the simplified form of the expression with exponent.

Answer to Problem 9.2E

The given expression with exponent is $7^5$ .

Explanation of Solution

Given:

The given expression is $7\cdot 7\cdot 7\cdot 7\cdot 7$ .

Calculation:

To multiply powers with the same base, add the exponents.

  $a^m\cdot a^n=a^{m+n}$ , where $a\ne 0$ and $m$ and $n$ are rational numbers.

  $\begin{array}{l}7\cdot 7\cdot 7\cdot 7\cdot 7\\ =7^{1+1+1+1+1}\\ =7^5\end{array}$

Hence the given expression with exponent is $7^5$ .