Simplify the expression. Assume that all variables represent positive real numbers.
-$\left(\frac{x^{-6} y^{-4}}{x^{-4} y^{5}}\right)^{-3 / 5}$

A) $x^{6 / 5} y^{27 / 5}$

B) $x^{30 / 5} y^{27 / 5}$

C) $x^{6 / 5} y^{12}$

D) $x^{72 / 5} y^{27 / 5}$

Question

Simplify the expression. Assume that all variables represent positive real numbers.
-$\left(\frac{x^{-6} y^{-4}}{x^{-4} y^{5}}\right)^{-3 / 5}$

A) $x^{6 / 5} y^{27 / 5}$

B) $x^{30 / 5} y^{27 / 5}$

C) $x^{6 / 5} y^{12}$

D) $x^{72 / 5} y^{27 / 5}$

Quizplus · Accepted Answer

First, simplify the expression inside the parentheses by adding the exponents of like bases (since we're dividing, we subtract the exponents): $x^{-6-(-4)} y^{-4-5} = x^{-2} y^{-9}$. Then, apply the exponent $-3/5$ to both $x^{-2}$ and $y^{-9}$ by multiplying the exponents: $x^{-2 \cdot (-3/5)} y^{-9 \cdot (-3/5)} = x^{6/5} y^{27/5}$.

Simplify the Expression (x−6y−4x−4y5)−3/5\left(\frac{x^{-6} y^{-4}}{x^{-4} y^{5}}\right)^{-3 / 5}(x−4y5x−6y−4​)−3/5 A) x6/5y27/5x^{6 / 5} y^{27 / 5}x6/5y27/5

Simplify the Expression $\left(\frac{x^{-6} y^{-4}}{x^{-4} y^{5}}\right)^{-3 / 5}$ A) $x^{6 / 5} y^{27 / 5}$