Question

marina correctly simplified the expression $\frac{-4a^{3}b^{4}}{8a^{-1}b^{-3}}$, assuming that $a
eq0$ and $b
eq0$. her simplified expression is below $-\frac{1}{2}a^{4}b^{square}$. what exponent should marina use for $b$? - 7 - 1 1 7

Explanation:

Step1: Apply exponent - division rule

When dividing terms with the same base, we subtract the exponents. For the variable \(a\), \(\frac{a^{3}}{a^{5}}=a^{3 - 5}=a^{-2}\), and for the variable \(b\), \(\frac{b^{4}}{b^{-3}}=b^{4-(-3)}\).

Step2: Calculate the exponent of \(b\)

Using the rule \(a - (-b)=a + b\), we have \(b^{4-(-3)}=b^{4 + 3}=b^{7}\).

Answer:

D. 7