Which expression is equivalent to the fraction with numerator 9 x to the 5th power y to the 16th power and denominator 45 x to the 5th power y to the 4th power ?
Answer
A
the fraction with numerator x y to the 4th power and denominator 5
B
the fraction with numerator y to the 12th power and denominator 5
C
the fraction with numerator y to the 12th power and denominator 36
D
the fraction with numerator x y to the 4th power and denominator 36
Explanation
Divide the coefficients: 9/45 = 1/5. For like bases, subtract exponents when dividing, so x⁵/x⁵ = 1 and y¹⁶/y⁴ = y¹². The expression simplifies to y¹²/5, which is choice A.
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