# How do you simplify 5(2^3+4)/sqrt 36 times 7 using PEMDAS?

May 31, 2016

$70$

#### Explanation:

First, there are no explicitly written parentheses, but the numerator of the fraction must be computed first for the problem to make sense. This term is calculated by first computing ${2}^{3}$ then adding four. The problem is then reduced to:

$5 \times \frac{12}{\sqrt{36}} \times 7$

Next compute any terms with exponents. There is one exponent left which is hidden in the denominator. Note that $\sqrt{36} = {36}^{\frac{1}{2}}$. Hence the problem is now

$5 \times \frac{12}{6} \times 7$

Finally, perform all of the multiplication and division by moving left to right.

$5 \times \frac{12}{6} \times 7 = \frac{60}{6} \times 7 = 10 \times 7 = 70$