# How do you simplify (5÷7^3) ÷ 7 times 7 using order of operations?

Jul 9, 2018

$\frac{5}{343}$

#### Explanation:

$\left(5 \div {7}^{3}\right) \div 7 \cdot 7$

PEMDAS (the order of operations) is shown here:

First, simplify the expression inside the parenthesis:
$\left(5 \div 343\right) \div 7 \cdot 7$

$\frac{5}{343} \div 7 \cdot 7$

We know that dividing by a number then multiplying by the same number just means to multiply/divide by $1$, or doing nothing, so the answer is just $\frac{5}{343}$.