Which values of A and b make the equation true? the fraction with numerator open paren 2 x y close paren to the 4th power and denominator 4 x y is equal to 4 x to the A th power y to the b th power
Answer
A
A is equal to 4 , b is equal to 4
B
A is equal to 5 , b is equal to 5
C
A is equal to 3 , b is equal to 3
D
A is equal to 0 , b is equal to 0
Explanation
Expand the numerator: (2xy)^4 = 16x^4y^4. Dividing by 4xy gives 4x^(4−1)y^(4−1) = 4x^3y^3, so A = 3 and b = 3. The correct choice is C, A is equal to 3 and b is equal to 3.
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