# How do you evaluate 4^2 * 2 + 8 *7?

Oct 6, 2017

There is an acronym that defines the order of steps in which this expression should be evaluated, so you can use it, or just start with the most complicated stuff and work down to the easy steps.

#### Explanation:

Given: ${4}^{2} \cdot 2 + 8 \cdot 7$

Has an exponent or power of in it, so we will take care of that first:

${4}^{2} = 4 \cdot 4 = 16 \to$ so we can see: ${4}^{2} \cdot 2 + 8 \cdot 7 = 16 \cdot 2 + 8 \cdot 7$

Then there are two multiplications so we tackle them next:

$16 \cdot 2 = 32$ and $8 \cdot 7 = 56$ and we now have $32 + 56$

This leaves the addition: $32 + 56 = 88$

So: ${4}^{2} \cdot 2 + 8 \cdot 7 = 88$