SOLUTION: Evaluate the following expression if x = 3/4 and y = 3/5. Show answers in lowest terms. (12x^2) / (10y) I’ve come up with two answers: 135/212 and 15 285/848 The exponent

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Evaluate the following expression if x = 3/4 and y = 3/5. Show answers in lowest terms. (12x^2) / (10y) I’ve come up with two answers: 135/212 and 15 285/848 The exponent      Log On


   



Question 1118330: Evaluate the following expression if x = 3/4 and y = 3/5. Show answers in lowest terms.
(12x^2) / (10y)
I’ve come up with two answers:
135/212 and 15 285/848
The exponent in this question is really making things hard for me. Any and all help or advice is appreciated!

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Follow PEMDAS (Paren's first, Exponentiation, Multiplication and Division (L to R), Addition and Subtraction (L to R)):

Numerator, N: 12(3/4)^2 = 12*9/16 = 27/4 <<< (a/b)^2 = (a^2)/(b^2), do the exponentiation first, then multiply by 12.
Denominator, D: 10y = 10(3/5) = 30/5 = 6
N/D = (27/4)/6 = 27/24 = +highlight%28+9%2F8+%29+
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If you post your work we tutors can point out where you are going off track.
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In the last line I did (27/4)/6 = (27/4)*(1/6) = (27*1)/(4*6) …. just wanted to clarify how that gets to 27/24