Question

the value of [(16)^-1/4]^-2​

Answer 1

Answer:

4

Step-by-step explanation:

As for all questions of mathematics dealing with equations or inequations, we will rewrite the given equation again.

$(16 {}^{ - \frac{ 1}{4} } ) {}^{2} \\ \\ = (( \frac{1}{16} ) {}^{ \frac{1}{4} } ) {}^{2} \\ \\ = ( \sqrt[4]{16} ) {}^{2} \\ \\ = ( \sqrt[4]{2 \times 2 \times 2 \times 2} \: ) {}^{2} \\ \\ = {2}^{2} \\ \\ = 4$

Hence, our final result or answer is 4.