Marina correctly simplified the expression the fraction with numerator negative 4 A to the negative 2 power b to the 4th power and denominator 8 A to the negative 6 power b to the negative 3 power , assuming that A is not equal to 0 and b is not equal to 0 Her simplified expression is: negative 1 half A to the 4th power b to the square th power What exponent should Marina use for b ?
When dividing powers with the same base, subtract the denominator’s exponent from the numerator’s. For b, the exponent is 4 − (−3) = 7, so Marina should use b⁷. The correct choice is D, 7.
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