# How do you simplify  (2^3/( -40- 9.5))- 3.5 using PEMDAS?

##### 1 Answer
Mar 21, 2017

See the entire solution process below:

#### Explanation:

First, simplify the Exponent term in the numerator of the fraction within the parenthesis:

$\left(\frac{\textcolor{red}{{2}^{3}}}{- 40 - 9.5}\right) - 3.5 = \left(\frac{8}{- 40 - 9.5}\right) - 3.5$

Next, execute the subtraction in the denominator of the fraction within the Parenthesis:

$\left(\frac{8}{\textcolor{red}{- 40 - 9.5}}\right) - 3.5 \to \left(\frac{8}{-} 49.5\right) - 3.5$

Then, execute the division within the parenthesis:

$\left(\textcolor{red}{\frac{8}{-} 49.5}\right) - 3.5 \to - 0. \overline{16} - 3.5$

Now, execute the remaining subtraction operation:

$\textcolor{red}{- 0. \overline{16} - 3.5} = - 3.66 \overline{16}$