Evaluate the expression.
-$$\left( \frac { 4 } { 49 } \right) ^ { - 1 / 2 }$$
A) not a real number

B) $\frac { 2 } { 7 }$

C) $\frac { 7 } { 2 }$

D) $\frac { 2 } { 49 }$

Question

Evaluate the expression.
-$$\left( \frac { 4 } { 49 } \right) ^ { - 1 / 2 }$$
A) not a real number

B) $\frac { 2 } { 7 }$

C) $\frac { 7 } { 2 }$

D) $\frac { 2 } { 49 }$

Quizplus · Accepted Answer

To evaluate $\left( \frac { 4 } { 49 } \right) ^ { - 1 / 2 }$, we first recognize that a negative exponent means we take the reciprocal of the base, and a fractional exponent of $-1/2$ means we take the square root. Thus, we take the reciprocal of $\frac{4}{49}$ to get $\frac{49}{4}$ and then take the square root, which results in $\frac{7}{2}$.

Evaluate the Expression (449)−1/2\left( \frac { 4 } { 49 } \right) ^ { - 1 / 2 }(494​)−1/2

Evaluate the Expression $\left( \frac { 4 } { 49 } \right) ^ { - 1 / 2 }$