Simplify the expression, if possible. $$\left( \frac { 1 } { 27 } \right) ^ { - 2 / 3 } - \left( \frac { 1 } { 9 } \right) ^ { - 1 / 2 }$$
A) 6
B) $- \frac { 2 } { 9 }$
C) $\frac { 1 } { 6 }$
D) Not a real number

Question

Quizplus · Accepted Answer

The expression simplifies as follows: $\left( \frac { 1 } { 27 } \right) ^ { - 2 / 3 } = 27^{2/3} = (3^3)^{2/3} = 3^2 = 9$, and $\left( \frac { 1 } { 9 } \right) ^ { - 1 / 2 } = 9^{1/2} = 3$. Therefore, $9 - 3 = 6$.

Simplify the Expression, If Possible (127)−2/3−(19)−1/2\left( \frac { 1 } { 27 } \right) ^ { - 2 / 3 } - \left( \frac { 1 } { 9 } \right) ^ { - 1 / 2 }(271​)−2/3−(91​)−1/2

Simplify the Expression, If Possible $\left( \frac { 1 } { 27 } \right) ^ { - 2 / 3 } - \left( \frac { 1 } { 9 } \right) ^ { - 1 / 2 }$