Question

Simplify by expressing fractional exponents instead of radicals

Answer 1

ab = (ab)^(1/2)

Explanation:

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Answer 2

`a^{(1)/(2)}b^{(1)/(2)}`

Explanation:

Given:

The expression in radical form is given as:

`√(ab)`

We need to express this in fractional exponent form.

We know that,

`\sqrt a=a^{(1)/(2)}`

Also,
`√(ab)=\sqrt a* \sqrt b`

Now, clubbing both the properties of square root function, we can rewrite the given expression as:

`√(ab)=\sqrt a * \sqrt b\\\\√(ab)=a^{(1)/(2)}* b^{(1)/(2)}\\\\\therefore √(ab)=a^{(1)/(2)}b^{(1)/(2)}`

So, the given expression in fractional exponents form is
`a^{(1)/(2)}b^{(1)/(2)}`.