Question

If the expression 1/ square root of x was placed in form x^a, then which of the following would be the value of a?

Answer 1

4) -1/2

1) Rewriting the expression:

`\frac{1}{\sqrt[]{x}}`

2) As a power we can write this way, considering that we can rewrite any radical as a power and that when we have a radical on the denominator we can rewrite it as a negative rational exponent. So we can write it out:

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

3) Hence, the answer is 4) -1/2