Simplify the expression. Write your answer with only positive exponents. Assume that all variables represent nonzero real numbers.
-$\left(\frac{-3 w^{5}}{x}\right)^{4}$

A) $\frac{81 w^{9}}{x^{4}}$

B) $\frac{-81 w^{20}}{x^{4}}$

C) $\frac{-81 w^{20}}{x}$

D) $\frac{81 w^{20}}{x^{4}}$

Question

Simplify the expression. Write your answer with only positive exponents. Assume that all variables represent nonzero real numbers.
-$\left(\frac{-3 w^{5}}{x}\right)^{4}$

A) $\frac{81 w^{9}}{x^{4}}$

B) $\frac{-81 w^{20}}{x^{4}}$

C) $\frac{-81 w^{20}}{x}$

D) $\frac{81 w^{20}}{x^{4}}$

Quizplus · Accepted Answer

When simplifying the expression $\left(\frac{-3 w^{5}}{x}\right)^{4}$, you raise both the numerator and the denominator to the 4th power. The coefficient $-3$ raised to the 4th power becomes $81$, and $w^{5}$ raised to the 4th power becomes $w^{20}$ because you multiply the exponents. The denominator $x$ raised to the 4th power becomes $x^{4}$. Therefore, the simplified expression is $\frac{81 w^{20}}{x^{4}}$.

Simplify the Expression (−3w5x)4\left(\frac{-3 w^{5}}{x}\right)^{4}(x−3w5​)4 A) 81w9x4\frac{81 w^{9}}{x^{4}}x481w9​ B) −81w20x4\frac{-81 w^{20}}{x^{4}}x4−81w20​ C) −81w20x\frac{-81 w^{20}}{x}x−81w20​

Simplify the Expression $\left(\frac{-3 w^{5}}{x}\right)^{4}$ A) $\frac{81 w^{9}}{x^{4}}$ B) $\frac{-81 w^{20}}{x^{4}}$ C) $\frac{-81 w^{20}}{x}$