Find the value of the expression $\left( \frac { 1 } { 2 } \right) ^ { 7 }$ .
A) $\frac { 1 } { 128 }$
B) $\frac { 1 } { 64 }$
C) $\frac { 1 } { 512 }$
D) $\frac { 1 } { 256 }$
E) $\frac { 1 } { 1,024 }$

Question

Quizplus · Accepted Answer

When raising a fraction to a power, raise both the numerator and denominator to that power.

$$\left(\frac{1}{2}\right)^7=\frac{1^7}{2^7}=\frac{1}{128}$$

Therefore, the answer is choice A, $\frac{1}{128}$.

Find the Value of the Expression (12)7\left( \frac { 1 } { 2 } \right) ^ { 7 }(21​)7

Find the Value of the Expression $\left( \frac { 1 } { 2 } \right) ^ { 7 }$