Question

Solve equation 1/4=x^-1/2

Answer 1

Answer:

Choice A is the answer.

Step-by-step explanation:

We have given an expression.

$\frac{1}{4} =x^{-1/2}$

We have to find the value of x.

We use following formula to solve this:

$a^{-m} =\frac{1}{a^{m}}$

Applying above formula , we have

$\frac{1}{4} =\frac{1}{x^{1/2} }$

$\frac{1}{4}=\frac{1}{\sqrt{x}}$

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.

Answer 2

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.