Evaluate the power and write your answer as an improper fraction. $\left( - 1 \frac { 1 } { 2 } \right) ^ { 3 }$
A) $- \frac { 27 } { 8 }$
B) $\frac { 8 } { 4 }$
C) $\frac { 27 } { 8 }$
D) $- \frac { 8 } { 4 }$
E) $\frac { 4 } { 8 }$

Question

Quizplus · Accepted Answer

To evaluate the power, we need to first convert the mixed number to an improper fraction:
$$-1 \frac{1}{2} = -\frac{3}{2}$$
Then, we raise this fraction to the third power:
$$\left(-\frac{3}{2}\right)^3 = -\frac{27}{8}$$
Therefore, the answer is choice A, since the power evaluated to $-\frac{27}{8}$ as an improper fraction.

Evaluate the Power and Write Your Answer as an Improper (−112)3\left( - 1 \frac { 1 } { 2 } \right) ^ { 3 }(−121​)3

Evaluate the Power and Write Your Answer as an Improper $\left( - 1 \frac { 1 } { 2 } \right) ^ { 3 }$