Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero real numbers.)
-$\frac{p^{3}}{p^{-5}}$
A) $p^{8}$
B) $p^{2}$
C) $\frac{1}{\mathrm{p}^{2}}$
D) $\frac{1}{p^{8}}$

Question

Quizplus · Accepted Answer

To simplify the expression $\frac{p^{3}}{p^{-5}}$, you use the rule of exponents that states when dividing powers with the same base, you subtract the exponents. Thus, $3 - (-5) = 3 + 5 = 8$, resulting in $p^{8}$.

Simplify the Expression p3p−5\frac{p^{3}}{p^{-5}}p−5p3​ A) p8p^{8}p8 B) p2p^{2}p2 C) 1p2\frac{1}{\mathrm{p}^{2}}p21​ D) 1p8\frac{1}{p^{8}}p81​

Simplify the Expression $\frac{p^{3}}{p^{-5}}$ A) $p^{8}$ B) $p^{2}$ C) $\frac{1}{\mathrm{p}^{2}}$ D) $\frac{1}{p^{8}}$