# How do you simplify [(7-5)^5/8]-4 using order of operations?

Mar 26, 2018

0

#### Explanation:

The order of operations is PEMDAS. Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
First, Parentheses. $\left[{\left(7 - 5\right)}^{5} / 8\right] - 4 = \left[{\left(2\right)}^{5} / 8\right] - 4$
Now, Exponents. $\left[{\left(2\right)}^{5} / 8\right] - 4 = \left[\frac{32}{8}\right] - 4$
Since there is no Multiplication, now Division. $\left[\frac{32}{8}\right] - 4 = 4 - 4$
Since there is no Addition, now Subtraction. $4 - 4 = 0$