Chapter 7, Problem 21SGR

To determine

To Simplify: The expression $a^{-3}{b}^0{c}^6$

Answer to Problem 21SGR

  $a^{-3}{b}^0{c}^6=\frac{c^6}{a^3}$

Explanation of Solution

Given information:

The expression $a^{-3}{b}^0{c}^6$

Concept and Formula Used:

Rule of exponent.

  $a^{-n}=\frac{1}{a^n},a^0=1$

Calculation:

The given expression is

  $\begin{array}{l}{a}^{-3}{b}^0{c}^6\\ \text{Using }{a}^{-n}=\frac{1}{a^n},a^0=1\\ a^{-3}{b}^0{c}^6=\frac{1\times c^6}{a^3}\\ a^{-3}{b}^0{c}^6=\frac{c^6}{a^3}\end{array}$

Conclusion:

  $a^{-3}{b}^0{c}^6=\frac{c^6}{a^3}$