66.6k views
1 vote
4 Evaluate: 2 (1) - O 1 16 2 ( ) V2 O O 1 2

4 Evaluate: 2 (1) - O 1 16 2 ( ) V2 O O 1 2-example-1
User Buddhi
by
3.1k points

1 Answer

5 votes

To answer this question, we need to apply the following rule:


x^(-m)=(1)/(x^m)

This rule is known as the negative exponent rule. We also need to remember that when we have an exponent of 1/2 is the same as finding the square root for a number. Then, we have:


((1)/(4))^{-(1)/(2)}=\frac{1}{((1)/(4))^{(1)/(2)}}=\frac{1}{\frac{\sqrt[]{1}^{}}{\sqrt[]{4}}}

Therefore, we have:


(1)/((1)/(2))=2

Thus, we have that:


((1)/(4))^{-(1)/(2)}=2

In summary, the correct answer is 2 (second option).

User Arc
by
3.2k points