Evaluate the expression. $\left( \frac { 2 } { 3 } \right) ^ { - 3 }$
A) $- \frac { 8 } { 27 }$

B) $- \frac { 27 } { 8 }$

C) $\frac { 1 } { 8 }$

D) $\frac { 27 } { 8 }$

E) $\frac { 8 } { 27 }$

Question

Evaluate the expression. $\left( \frac { 2 } { 3 } \right) ^ { - 3 }$
A) $- \frac { 8 } { 27 }$

B) $- \frac { 27 } { 8 }$

C) $\frac { 1 } { 8 }$

D) $\frac { 27 } { 8 }$

E) $\frac { 8 } { 27 }$

Quizplus · Accepted Answer

Using the rule for negative exponents, we have
$$\left(\frac{2}{3}\right)^{-3}=\frac{1}{\left(\frac{2}{3}\right)^3}=\frac{1}{\frac{2\cdot2\cdot2}{3\cdot3\cdot3}}=\frac{1}{\frac{8}{27}}=\frac{27}{8}$$

Evaluate the Expression (23)−3\left( \frac { 2 } { 3 } \right) ^ { - 3 }(32​)−3

Evaluate the Expression $\left( \frac { 2 } { 3 } \right) ^ { - 3 }$