Use the Negative-Exponent Rule
-$\frac { x ^ { 8 } y ^ { - 3 } } { z ^ { - 8 } }$
A) $\frac { x ^ { 8 } z ^ { 8 } } { y ^ { 3 } }$
B) $\frac { z ^ { 8 } } { x ^ { 8 } y ^ { 3 } }$
C) $\frac { y ^ { 3 } } { x ^ { 8 } z ^ { 8 } }$
D) $\frac { x ^ { 8 } z ^ { 3 } } { y ^ { 8 } }$

Question

Quizplus · Accepted Answer

The Negative-Exponent Rule states that $a^{-n} = \frac{1}{a^n}$. Applying this rule, $y^{-3}$ becomes $\frac{1}{y^3}$ and $z^{-8}$ becomes $\frac{1}{z^{-8}}$, which when flipped to the numerator becomes $z^8$. Thus, the expression simplifies to $\frac{x^8z^8}{y^3}$.

Use the Negative-Exponent Rule - x8y−3z−8\frac { x ^ { 8 } y ^ { - 3 } } { z ^ { - 8 } }z−8x8y−3​

Use the Negative-Exponent Rule
- $\frac { x ^ { 8 } y ^ { - 3 } } { z ^ { - 8 } }$