Chapter 7.1, Problem 24P

Evaluate each expression for $a=-4,b=3,$ and $c=2$.

$9a^0{c}^4$

To determine

To evaluate $9{\left(a\right)}^0{c}^4$ if $a=-4,c=2.$

Answer to Problem 24P

The value of $9{\left(a\right)}^0{c}^4$ is $144fora=-4,c=2.$

Explanation of Solution

Given information :

Given expression $9{\left(a\right)}^0{c}^4$ if $a=-4,c=2$ .

As we know that $a^0=1\text{for}\text{any}\text{non}\text{zero}\text{real}\text{number}\text{'a'}\text{.}$

  $\begin{array}{l}\Rightarrow 9{\left(a\right)}^0{c}^4=9c^4\\ substitutec\text{=}2\text{in}\text{above}\text{equation,}\text{we get}\\ \Rightarrow 9{\left(a\right)}^0{c}^4=9\left(2^4\right)\\ =9\times 16\\ \therefore 9{\left(a\right)}^0{c}^4=144\end{array}$

Hence, the value of $9{\left(a\right)}^0{c}^4$ is $144.$