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3 The expression (5^(2)x^(3)y^(4))/(3x^(2)y) is equal to (25x^(a)y^(b))/(3). What is a+b ?

33\newlineThe expression 52x3y43x2y \frac{5^{2} x^{3} y^{4}}{3 x^{2} y} is equal to 25xayb3 \frac{25 x^{a} y^{b}}{3} . What is a+b a+b ?

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Full solution

Q. 33\newlineThe expression 52x3y43x2y \frac{5^{2} x^{3} y^{4}}{3 x^{2} y} is equal to 25xayb3 \frac{25 x^{a} y^{b}}{3} . What is a+b a+b ?
  1. Simplify with division: Simplify the expression by dividing the exponents of like bases.
  2. Calculate new exponents: Calculate the new exponents for xx and yy.
  3. Find sum of aa and bb: Add the values of aa and bb to find a+ba + b.

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