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

1 Answer
May 31, 2016

Answer:

#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#