Question

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

Answer 1

Choice A is the answer.

Explanation:

We have given an expression.

`(1)/(4) =x^(-1/2)`

We have to find the value of x.

We use following formula to solve this:

`a^(-m) =(1)/(a^(m))`

Applying above formula , we have

`(1)/(4) =(1)/(x^(1/2) )`

`(1)/(4)=(1)/(√(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

A. {16}

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.