marina correctly simplified the expression $\frac{-4a^{-2}b^{4}}{8a^{-6}b^{-3}}$, assuming that $a\neq0$ and…

marina correctly simplified the expression $\frac{-4a^{-2}b^{4}}{8a^{-6}b^{-3}}$, assuming that $a\neq0$ and $b\neq0$. her simplified expression is below. $-\frac{1}{2}a^{4}b^{square}$ what exponent should marina use for $b$? -7 -1 1 7

marina correctly simplified the expression $\frac{-4a^{-2}b^{4}}{8a^{-6}b^{-3}}$, assuming that $a\neq0$ and $b\neq0$. her simplified expression is below. $-\frac{1}{2}a^{4}b^{square}$ what exponent should marina use for $b$? -7 -1 1 7

Answer

Answer:

7

Explanation:

Step1: Apply exponent - division rule

$\frac{-4a^{-2}b^{4}}{8a^{-6}b^{-3}}=\frac{-4}{8}\times a^{-2-(-6)}\times b^{4 - (-3)}$

Step2: Simplify the coefficient and exponents of a

$\frac{-4}{8}=-\frac{1}{2}$, and $a^{-2-(-6)}=a^{-2 + 6}=a^{4}$

Step3: Simplify the exponent of b

$b^{4-(-3)}=b^{4 + 3}=b^{7}$ So the exponent of $b$ is 7.