Question

How to do (1/4)^(-1/2)?

Answer 1

Hold on I will help

Answer 2

Ok thanks

Answer 3

Okay first you have to simplify the expression

Answer 4

How would I do that?

Answer 5

Your awnser would be -1/8

Answer 6

The answer in my book says 2

Answer 7

Then thatwould be your awnser

Answer 8

I have to show my work though and I'm not sure how to get it

Answer 9

For the work just put you have to simplify the expression by breaking it down

Answer 10

\[x^{-a} = \frac{1}{x^a}\]

Answer 11

I know how to do negative exponents it's just the fraction part is confusing me

Answer 12

oh okay.
you have to convert exponent to a radical

Answer 13

\[x^{\frac{1}{2}} =\sqrt{x}\]

Answer 14

Oh okay. I think I get it. Would you make it sq rt 4 and then get 2

Answer 15

\[\large x^{\frac{m}{n}} = \sqrt[n]{x^m}\]

Answer 16

well, first of all how would you rewrite the expression with positive exponent?

Answer 17

4^1/2?

Answer 18

remember: the entire fraction raised to a negative exponent

Answer 19

\[\frac{ 1 }{ \sqrt{\frac{1}{4}} }\] \[\frac{ 1 }{(4)^ \frac{1}{2} } \rightarrow 1 \times \frac{ 4^\frac{ 1 }{ 2 } }{ 1 } \rightarrow \sqrt{4}=2\]
your answer is correct: make sure 1/ (1/4)^(1/2)

Answer 20

Oh okay. That makes sense. Thanks for the help.

Answer 21

correction:
\[\frac{ 1 }{ (\frac{ 1 }{ 4 } )^\frac{ 1 }{ 2 }}\]

Answer 22

you're welcome. good job.