Answer
To simplify the expression (-4a^-2 b^4)/(8a^-6b^-3), we can apply the rules of exponents. First, we divide the coefficients: -4/8 gives us -1/2. For the variable a, we combine the exponents: -2 – (-6) results in a^4. For the variable b, we have 4 – (-3), which sums to b^7. Thus, the final simplified expression is -1/2a^4b^7. Therefore, the exponent of b in Marina’s solution should indeed be 7.
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