Factor the given factor from the expression.
-$\mathrm { s } ^ { - 5 / 7 } ; 15 \mathrm {~s} ^ { 1 / 7 } - 3 \mathrm {~s} ^ { - 5 / 7 }$
A) $s ^ { 1 / 7 } \left( 15 s ^ { 6 / 7 } - 3 ^ { 2 / 1 } \right)$
B) $s ^ { - 5 / 7 } ( 15 s ^{6 / 7} - 3 s )$
C) $s 1 / 3 \left( 15 - 3 s ^ { 2 / 1 } \right)$
D) $ { s } ^ { - 5 / 7 } ( 15 \mathrm {~s}^{ 6 / 7} - 3 )$

Question

Quizplus · Accepted Answer

Factoring $s^{-5/7}$ from the given expression $15s^{1/7} - 3s^{-5/7}$, we get $s^{-5/7}(15s^{(1/7 + 5/7)} - 3)$, simplifying the exponent inside the parenthesis gives $s^{-5/7}(15s^{6/7} - 3)$.

Factor the Given Factor from the Expression s−5/7;15 s1/7−3 s−5/7\mathrm { s } ^ { - 5 / 7 } ; 15 \mathrm {~s} ^ { 1 / 7 } - 3 \mathrm {~s} ^ { - 5 / 7 }s−5/7;15 s1/7−3 s−5/7

Factor the Given Factor from the Expression $\mathrm { s } ^ { - 5 / 7 } ; 15 \mathrm {~s} ^ { 1 / 7 } - 3 \mathrm {~s} ^ { - 5 / 7 }$