Simplify the expression $\frac { 13 y ^ { 4 / 3 } z ^ { - 1 / 5 } } { 28 y ^ { - 2 / 3 } z }$ .
A) $\frac { 14 y ^ { 2 } } { 29 z ^ { 6 / 5 } }$
B) $\frac { 13 y ^ { 2 } } { 28 z ^ { 6 / 5 } }$
C) $\frac { 13 y ^ { 2 } } { 28 z ^ { 4 / 5 } }$
D) $\frac { 13 y ^ { 2 } } { 28 z ^ { 1 / 5 } }$
E) $\frac { y ^ { 2 } } { 2 z ^ { 6 / 5 } }$

Question

Quizplus · Accepted Answer

To simplify the expression, combine the terms by adding or subtracting the exponents for like bases. For $y$, add $4/3$ and $2/3$ to get $2$. For $z$, subtract $-1/5$ from $1$ (or add $1/5$ to $-1$) to get $6/5$. The coefficient simplifies directly, remaining $13/28$. Therefore, the simplified expression is $\frac { 13 y ^ { 2 } } { 28 z ^ { 6 / 5 } }$.

Simplify the Expression 13y4/3z−1/528y−2/3z\frac { 13 y ^ { 4 / 3 } z ^ { - 1 / 5 } } { 28 y ^ { - 2 / 3 } z }28y−2/3z13y4/3z−1/5​

Simplify the Expression $\frac { 13 y ^ { 4 / 3 } z ^ { - 1 / 5 } } { 28 y ^ { - 2 / 3 } z }$