Simplify the expression.
-$\left( \frac { 18 \mathrm { t } ^ { 3 } } { 9 \mathrm {~s} ^ { 4 } } \right) ^ { 2 }$
A) $\frac { 4 t ^ { 5 } } { s ^ { 6 } }$
B) $\frac { 4 t ^ { 6 } } { s ^ { 4 } }$
C) $\frac { 4 t ^ { 6 } } { s ^ { 8 } }$
D) $\frac { 2 t ^ { 6 } } { s ^ { 8 } }$

Question

Quizplus · Accepted Answer

When simplifying the expression $\left( \frac { 18 \mathrm { t } ^ { 3 } } { 9 \mathrm {~s} ^ { 4 } } \right) ^ { 2 }$, first simplify the fraction inside the parentheses to $\frac { 2 \mathrm { t } ^ { 3 } } { \mathrm {~s} ^ { 4 } }$ by dividing both the numerator and the denominator by 9. Then, when you square the simplified fraction, you square both the numerator and the denominator, resulting in $\frac { 4 \mathrm { t } ^ { 6 } } { \mathrm {~s} ^ { 8 } }$, which matches choice C.

Simplify the Expression (18t39 s4)2\left( \frac { 18 \mathrm { t } ^ { 3 } } { 9 \mathrm {~s} ^ { 4 } } \right) ^ { 2 }(9 s418t3​)2

Simplify the Expression $\left( \frac { 18 \mathrm { t } ^ { 3 } } { 9 \mathrm {~s} ^ { 4 } } \right) ^ { 2 }$