Use the laws of exponents to simplify. Write the answer with positive exponents.
-$\left(243 \mathrm{k}^{5} \cdot \mathrm{m}^{-10}\right)^{1 / 5}$
A) $\frac{5 \mathrm{k}}{\mathrm{m}^{2}}$
B) $3 \mathrm{~km}^{2}$
C) $5 \mathrm{~km}^{2}$
D) $\frac{3 \mathrm{k}}{\mathrm{m}^{2}}$

Question

Quizplus · Accepted Answer

The expression simplifies to $\left(243k^5m^{-10}\right)^{1/5} = 3k^1m^{-2} = \frac{3k}{m^2}$ by applying the power of a product rule and recognizing that $243^{1/5} = 3$.

Use the Laws of Exponents to Simplify (243k5⋅m−10)1/5\left(243 \mathrm{k}^{5} \cdot \mathrm{m}^{-10}\right)^{1 / 5}(243k5⋅m−10)1/5

Use the Laws of Exponents to Simplify $\left(243 \mathrm{k}^{5} \cdot \mathrm{m}^{-10}\right)^{1 / 5}$