Simplify the expression. Write the result using positive exponents only.
-$\left( \frac { 1 } { 4 } \right) ^ { - 2 }$
A) 16
B) $- 16$
C) $\frac { 1 } { 16 }$
D) $\frac { 1 } { 8 }$

Question

Quizplus · Accepted Answer

When you raise a fraction to a negative exponent, you take the reciprocal of the fraction and then apply the positive exponent. So, $\left( \frac { 1 } { 4 } \right) ^ { - 2 } = \left( 4 \right) ^ { 2 } = 16$.

Simplify the Expression (14)−2\left( \frac { 1 } { 4 } \right) ^ { - 2 }(41​)−2

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