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

1 Answer
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 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