Chapter 7.1, Problem 19PPE

To determine

To Simplify: The expression ${1.5}^{-2}$

Answer to Problem 19PPE

The required solution is $\frac{1}{2.25}$

Explanation of Solution

Given information:

  ${1.5}^{-2}$

Concept Used:

Negative Exponent:

  $a^{-n}=\frac{1}{a^n}$

Where a is a non-zero number and n is an integer

Calculation:

  ${1.5}^{-2}$

Applying Negative Exponent concept

  $=\frac{1}{{1.5}^2}$

Simplify

  $=\frac{1}{2.25}$