# How do you solve -5+ ( - 7) ( - 2) - ( - 3)^{3}?

Sep 13, 2016

$- 5 + \left(- 7\right) \left(- 2\right) - {\left(- 3\right)}^{3} = 36$

#### Explanation:

The order of operations in such a case is given by PEMDAS which lists the operations which should be done first. It stands for Parentheses, Exponents, Multiplication, Division, Addition and Subtraction. Hence we will do operations in this order.

$- 5 + \left(- 7\right) \left(- 2\right) - {\left(- 3\right)}^{3}$ (Here $\left(- 7\right) \left(- 2\right)$ means $\left(- 7\right) \times \left(- 2\right)$

= $- 5 + \left(- 7\right) \times \left(- 2\right) - \left(- 3 \times - 3 \times - 3\right)$

= $- 5 + \left(- 7\right) \times \left(- 2\right) - \left(- 27\right)$

= $- 5 + 14 + 27$

= $- 5 + 41$

= $36$