Question

What procedures are followed to rewrite expressions involving radicals and rational exponents

Answer 1

Explanation:

The following procedures you can keep in the mind while writing expressions involving radicals and rational exponents.

1) If equation is like this
`x^{(a)/(b) }`

you can write it as

`\sqrt[b]{x^(a) }`
`=(\sqrt[b]{x})^(a)`

here the order doesn't matter whether you take the power of x and then take the
`b^(th)` root of it or first you take the
`b^(th)` root of it and then find its power.

2) Fractional exponents are roots and nothing else for example

`x^{(1)/(3) }` doesn't mean
`x^(-3)` but it means
`\sqrt[3]{x}`.

3. The final answer should be in the same format as the original problem; if the original problem is in radical form, your answer should be in radical form. And if the original problem is in exponential form with rational exponents, your solution should be as well.