Question

Evaluate each expression.

${\left[5\right(1+1\left)\right]}^3$

Short answer

The required value is 1000.

Step-by-step solution

Step 1. Add the numbers inside the parenthesis.

${\left[5\right(1+1\left)\right]}^3={\left[5\right(2\left)\right]}^3$

Step 2. Remove the parenthesis.

$$\begin{gathered} {\left[5\left(1+1\right)\right]}^3={\left[5\times 2\right]}^3 \\ {\left[5\left(1+1\right)\right]}^3={\left[10\right]}^3 \end{gathered}$$

Step 3. Solve the exponent.

$\begin{array}{l}{\left[5\left(1+1\right)\right]}^3={\left[10\right]}^3\\ {\left[5\left(1+1\right)\right]}^3=10\times 10\times 10\\ {\left[5\left(1+1\right)\right]}^3=1000\end{array}$

The required value is 1000.