Chapter 4.3, Problem 24IP

To determine

To find the product and express the result using positive exponents.

Answer to Problem 24IP

The product is , $6^5{.6}^{-5}=1$

Explanation of Solution

Given information: The expression is, $6^5{.6}^{-5}$

Concept used: The products of powers property is defined by,

Multiply powers with the same base by adding their exponents.

  $a^m.a^n=a^{m+n}$

Calculation : The product of the numbers is obtained as,

  $\begin{array}{l}{6}^5{.6}^{-5}=6^{5+\left(-5\right)}\left(\text{Product of the powers property; the common base is 6 }\right).\\ =6^0\left(\text{Add the exponents}\right).\\ =1\end{array}$

Hence,the product is $6^5{.6}^{-5}=1$