Which values of A and b make the following equation true? open paren 5 x to the 7th power y squared close paren times open paren negative 4 x to the 4th power y to the 5th power close paren is equal to negative 20 x to the A th power y to the b th power
Answer
A
A is equal to 11 , b is equal to 10
B
A is equal to 28 , b is equal to 10
C
A is equal to 11 , b is equal to 7
D
A is equal to 28 , b is equal to 7
Explanation
Multiply the coefficients: 5 × (−4) = −20. When multiplying powers with the same base, add their exponents: x⁷ × x⁴ = x¹¹ and y² × y⁵ = y⁷. Thus A = 11 and b = 7, which is choice C.
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