Simplify the exponential expression. Write any negative exponents as positive exponents. Assume all variables represent positive real numbers.
-$\frac { x ^ { 5 / 3 } \cdot x ^ { - 5 / 6 } } { x ^ { - 1 / 2 } }$
A) $\frac { 1 } { x ^ { 4 / 3 } }$
B) $\frac { 1 } { \mathrm { x } ^ { 1 / 3 } }$
C) $x ^ { 4 / 3 }$
D) $x ^ { 1 / 3 }$

Question

Quizplus · Accepted Answer

Combine the exponents in the numerator: $x^{5/3} \cdot x^{-5/6} = x^{5/3 - 5/6} = x^{5/6}$. Then, divide by the denominator: $x^{5/6} / x^{-1/2} = x^{5/6 + 1/2} = x^{4/3}$.

Simplify the Exponential Expression x5/3⋅x−5/6x−1/2\frac { x ^ { 5 / 3 } \cdot x ^ { - 5 / 6 } } { x ^ { - 1 / 2 } }x−1/2x5/3⋅x−5/6​

Simplify the Exponential Expression $\frac { x ^ { 5 / 3 } \cdot x ^ { - 5 / 6 } } { x ^ { - 1 / 2 } }$