Use the properties of exponents to simplify the expression. Write with positive exponents.
-$$\left( 2 x ^ { - 1 / 3 } y ^ { 1 / 3 } \right) \left( - 8 x ^ { 1 / 4 } y ^ { - 1 / 6 } \right)$$

Question

Quizplus · Accepted Answer

To simplify the expression, multiply the coefficients and add the exponents of like bases: $2 \times -8 = -16$, $x^{-1/3} \times x^{1/4} = x^{-1/12}$, and $y^{1/3} \times y^{-1/6} = y^{1/6}$. Convert negative exponents to positive by moving the base to the denominator, resulting in $\frac{-16y^{1/6}}{x^{1/12}}$.

Use the Properties of Exponents to Simplify the Expression (2x−1/3y1/3)(−8x1/4y−1/6)\left( 2 x ^ { - 1 / 3 } y ^ { 1 / 3 } \right) \left( - 8 x ^ { 1 / 4 } y ^ { - 1 / 6 } \right)(2x−1/3y1/3)(−8x1/4y−1/6)

Use the Properties of Exponents to Simplify the Expression $\left( 2 x ^ { - 1 / 3 } y ^ { 1 / 3 } \right) \left( - 8 x ^ { 1 / 4 } y ^ { - 1 / 6 } \right)$