Question

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

Answer 1

`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 xx 12/sqrt(36) xx7`

Next compute any terms with exponents. There is one exponent left which is hidden in the denominator. Note that `sqrt(36)=36^(1/2)`. Hence the problem is now

`5 xx 12/6 xx7`

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

`5 xx 12/6 xx 7=60/6 xx 7=10 xx 7=70`