Simplify the expression. $\frac { a ^ { 2 / 5 } a ^ { 2 / 5 } } { a ^ { 1 / 5 } }$ Write all answers without using negative exponents.Assume that all variables represent positive numbers.
A) $\quad a ^ { 3 / 5 }$
B) $\quad a ^ { 4 / 5 }$
C) $\quad a ^ { 5 / 5 }$
D) $\quad a ^ { 3 / 10 }$
E) $\quad a ^ { 3 / 8 }$

Question

Simplify the expression. $\frac { a ^ { 2 / 5 } a ^ { 2 / 5 } } { a ^ { 1 / 5 } }$ Write all answers without using negative exponents.Assume that all variables represent positive numbers. 
A) $\quad a ^ { 3 / 5 }$
B) $\quad a ^ { 4 / 5 }$
C) $\quad a ^ { 5 / 5 }$
D) $\quad a ^ { 3 / 10 }$
E) $\quad a ^ { 3 / 8 }$

Quizplus · Accepted Answer

Using the rule $a^{m+n}=a^m	imes a^n$, we have 
\begin{align*}
\frac{a^{2/5}a^{2/5}}{a^{1/5}}&=a^{2/5+2/5-1/5}\
&=a^{3/5}.
\end{align*}
Therefore, the answer is $\boxed{	ext{(A)}\ a^{3/5}}$.

Simplify the Expression a2/5a2/5a1/5\frac { a ^ { 2 / 5 } a ^ { 2 / 5 } } { a ^ { 1 / 5 } }a1/5a2/5a2/5​

Simplify the Expression $\frac { a ^ { 2 / 5 } a ^ { 2 / 5 } } { a ^ { 1 / 5 } }$