Chapter 1.4, Problem 11MCQ

To determine

To Evaluate: The given expression at the given values.

Answer to Problem 11MCQ

  $r^2+{\left(g^3-8\right)}^5=9atg=2,r=3$

Explanation of Solution

Given information:

The expression $r^2+{\left(g^3-8\right)}^5,g=2,r=3\text{ and }t=11$

Concept and Formula Used:

Rule of exponent and addition and subtraction.

  $a^n=a\times a\times a\times \mathrm{..................}n\text{ times}\text{.}$

Calculation:

As the given expression is $r^2+{\left(g^3-8\right)}^5$ and given that $g=2,r=3$ we have

  $\begin{array}{l}{\left(3\right)}^2+{\left({\left(2\right)}^3-8\right)}^5\\ =3\times 3+{\left(2\times 2\times 2-8\right)}^5\\ =9+{\left(8-8\right)}^5\\ =9+0\\ =9\end{array}$

Conclusion:

  $r^2+{\left(g^3-8\right)}^5=9atg=2,r=3$