Respuesta :

Answer:

A. {16}

Step-by-step explanation:

1/4 = x^-1/2

We have the exponent rule a^-1 = 1/a^1

Applying the rule, we get

1/4 = 1/x^1/2

x^1/2 = √x

1/4 = 1/√x

Now let's cross multiplying, we get

√x  = 4

Taking square on both sides, we get

x = 16

The answer: A. {16}

Hope this will helpful.

Thank you.

zainebamir540

Answer:

Choice A is the answer.

Step-by-step explanation:

We have given an expression.

[tex]\frac{1}{4} =x^{-1/2}[/tex]

We have to find the value of x.

We use following formula to solve this:

[tex]a^{-m} =\frac{1}{a^{m}}[/tex]

Applying above formula , we have

[tex]\frac{1}{4} =\frac{1}{x^{1/2} }[/tex]

[tex]\frac{1}{4}=\frac{1}{\sqrt{x}}[/tex]

Eliminating fraction, we have

4 = √x

Taking square root to both sides of above equation, we have

(4)² = (√x)²

16 = x

x = 16 which is the answer.

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