Simplify the expression. $\frac { a ^ { 3 / 7 } a ^ { 2 / 7 } } { a ^ { 1 / 7 } }$ Write all answers without using negative exponents.Assume that all variables represent positive numbers.
A)$\quad a ^ { 4 / 10 }$
B) $\quad a ^ { 6 / 7 }$
C) $\quad a ^ { 4 / 14 }$
D) $\quad a ^ { 4 / 7 }$
E) $\quad a ^ { 5 / 7 }$

Question

Simplify the expression. $\frac { a ^ { 3 / 7 } a ^ { 2 / 7 } } { a ^ { 1 / 7 } }$ Write all answers without using negative exponents.Assume that all variables represent positive numbers. 
A)$\quad a ^ { 4 / 10 }$
B) $\quad a ^ { 6 / 7 }$
C) $\quad a ^ { 4 / 14 }$
D) $\quad a ^ { 4 / 7 }$
E) $\quad a ^ { 5 / 7 }$

Quizplus · Accepted Answer

Using the rule $a^m \cdot a^n = a^{m+n}$, we can combine the exponents of $a$ in the numerator to get $\frac{a^{3/7+2/7}}{a^{1/7}}=\frac{a^{5/7}}{a^{1/7}}=a^{5/7-1/7}=a^{4/7}$. Therefore, the answer is $\boxed{	extbf{(D)}}$.

Simplify the Expression a3/7a2/7a1/7\frac { a ^ { 3 / 7 } a ^ { 2 / 7 } } { a ^ { 1 / 7 } }a1/7a3/7a2/7​

Simplify the Expression $\frac { a ^ { 3 / 7 } a ^ { 2 / 7 } } { a ^ { 1 / 7 } }$