# How do you simplify [4 times (5+6)] ÷ (4² - 12)^3 using PEMDAS?

Answer$= \frac{11}{16}$

#### Explanation:

$\left[4 \cdot \left(5 + 6\right)\right] \div {\left({4}^{2} - 12\right)}^{3}$

Work on the inside of PARENTHESIS first ....that means the innermost PARENTHESIS. So we start with 5+6 then multiply by 4, and on the other one ${4}^{2}$ first before subtracting 12

$\left[4 \cdot 11\right] \div {\left(16 - 12\right)}^{3}$

At this point EXPONENTIAL first before DIVISION
$44 \div {4}^{3}$

$44 \div 64$

$\frac{44}{64}$

$\frac{11}{16}$

God bless...I hope the explanation is useful..