How do you simplify #0.6(4-3^2) div 1 / 4 ^2# using PEMDAS?

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Answer 1 · 2017-05-13T00:27:18

#48#

PEMDAS stands for Parentheses, Exponent, Multiply, Divide, Add, and Subtract. First. start with the parentheses. Inside the parentheses, we have:

#4-3^2#

Solve the exponent first. #3^2=9#. So we have:

#4-9#

This becomes #-5#. Now that we solved inside the parentheses, we're left with:

#0.6(-5)-:1/4^2#

Exponents take precedence over multiplication and division. Solve for #4^2#. We get #16# in the denominator. So we have:

#0.6(-5)-:1/16#

Multiplication and division have equal precedence. So we solve from left to right:

#0.6(-5)=-3#

So now we have:

#3-:1/16#

If you're dealing with fractions, you can flip the fraction and change the sign to a multiplication symbol. So we can rewrite it as:

#3xx16#

Solve:

#3xx16=48#