Which expression is equivalent to the fraction with numerator 10 x to the 6th power y to the 12th power and denominator negative 5 x to the negative 2 power y to the negative 6 power ? Assume x is not equal to 0 , y is not equal to 0
Answer
A
negative 50 x to the 8th power y to the 18th power
B
negative 2 x to the 8th power y to the 18th power
C
negative 2 x to the 12th power y to the 72th power
D
5 x to the 8th power y to the 18th power
Explanation
Divide the coefficients: 10 ÷ (−5) = −2. When dividing powers with the same base, subtract the denominator’s exponent: x⁶ ÷ x⁻² = x⁸ and y¹² ÷ y⁻⁶ = y¹⁸. The equivalent expression is −2x⁸y¹⁸, which is choice B.
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