Chapter 1.2, Problem 30P

Simplify each expression.

${\left[{(48÷8)}^3-7\right]}^3$

To determine

To simplify the expression ${\left[{\left(48÷8\right)}^3-7\right]}^3$

Answer to Problem 30P

  $\text{9129329}$

Explanation of Solution

Given:

Consider the expression ${\left[{\left(48÷8\right)}^3-7\right]}^3$

Calculations:

  $\begin{array}{c}{\left[{\left(48÷8\right)}^3-7\right]}^3={\left[{\left(\frac{48}{8}\right)}^3-7\right]}^3\\ ={\left[6^3-7\right]}^3\\ ={\left[216-7\right]}^3\\ ={\left[\text{209}\right]}^3\\ =\text{9129329}\end{array}$