# How do you simplify (5³)times (9-2) ÷ (2^4 ÷ 2²) using PEMDAS?

Jul 9, 2018

$218.75$

#### Explanation:

The first thing to simplify are the terms inside the parenthesis. Inside the parenthesis, if there is only one operation, do that; if there are more than $1$, then follow the PEMDAS rule.

$\left({5}^{3}\right) \times \left(9 - 2\right) \div \left({2}^{4} \div {2}^{2}\right)$

$= 125 \times 7 \div \left(16 \div 4\right)$

$= 875 \div 4$

$= 218.75$

Hope this helps!