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

1 Answer
Jul 9, 2018

#5/343#

Explanation:

#(5 -: 7^3) -: 7 * 7#

PEMDAS (the order of operations) is shown here:
www.coolmath.com

First, simplify the expression inside the parenthesis:
#(5 -: 343) -: 7 * 7#

#5/343 -: 7 * 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 #5/343#.