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what is 3(10-12/6)^2 i need it worked out to do my home work please

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3 Answers

Hello Arianna. In order to work this problem you need to remember your order of operations. "Please Excuse My Dear Aunt Sally" or "PEMDAS" which represents:

P - Parentheses first

E - Exponents (ie Powers and Square Roots, etc.)

M - Multiplication

D - Division (left-to-right)

A - Addition

S - Subtraction (left-to-right)

Now take your equation: 3(10 - 12 / 6)^2

First we work within the Parentheses: (10 - 12 / 6)

Inside of the Parentheses we work the division first: (10 - 2)

Next we continue working within the Parentheses: (8)

So now our equation is: 3(8)^2

The next operation we look at is the exponent. 8^2 = 64

Finally we multiply: 3 * 64 = 192

Answer: 3(10 - 12 / 6)^2 = 192

work the parentIsis first:  12/6=2, therefore 10-12/6=10-2=8

therefore, 3(10-12/6)^2=3(8)^2,  since 8^2=64,  3(64)=192

So,  3(10-12/6)^2=192

order of operations is critical 

inside parenthesis, do division first (10-12/6) = (10-2) = 8

then

3 * 8^2 = 3 * 64 = 192

doing exponent first