Chapter 1.2, Problem 32P

Simplify each expression.

$4\left[11-\left(55-3^5\right)÷3\right]$

To determine

To simplify: $4[11-(55-3^5)÷3]$

Answer to Problem 32P

The solution is $294\frac{2}{3}$ .

Explanation of Solution

Given information: $4[11-(55-3^5)÷3]$

Calculation:

  $\begin{array}{l}4[11-(55-3^5)÷3]\\ =4[11-(55-3\times 3\times 3\times 3\times 3)÷3]\\ =4[11-(55-243)÷3]\\ =4[11-(-188)÷3]\\ =4[11+188÷3]\\ =4[11+\frac{188}{3}]\end{array}$

  $\begin{array}{l}=4[\frac{33+188}{3}]\\ =4\times \frac{221}{3}\\ =\frac{884}{3}\\ =294\frac{2}{3}\end{array}$

Thus, the solution is $294\frac{2}{3}$ .