How do you evaluate #(\frac{18\div 6+12}{3})^{2}#?

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Answer 1 · 2017-08-13T13:10:30

See a solution process below:

First, execute the Division in the numerator of the fraction within the parenthesis:

#((color(red)(18 -: 6) + 12)/3)^2 => ((3 + 12)/3)^2#

Next, execute the Addition operation in the numerator of the fraction within the parenthesis:

#((color(red)(3 + 12))/3)^2 => (15/3)^2#

Then, Divide the fraction within the parenthesis:

#(color(red)(15/3))^2 => 5^2#

Now, execute the exponent operation:

#5^2 => 25#