Question

Part 1: Create your own term using a rational exponent.
Part 2: Convert it to a radical expression.
Part 3: Explain, in complete sentences, how the expression was converted

Answer 1

@jim_thompson5910

Answer 2

@waterineyes @nbouscal

Answer 3

See, let me make the term as : \[\large x^y\]

Okay??

Answer 4

Okay

Answer 5

Or you want the rational exponent so you can take like this also:

\[\large x^{\frac{1}{y}}\]

Is it okay??

Answer 6

Sure no problem. Let's use x^1/y

Answer 7

So, in radical form it is converted as:

\[\huge x^{\frac{1}{y}} = \sqrt[y]{x^1}\]

Getting it or not??

Answer 8

Yes I get it. Okay.

Answer 9

I just don't understand how I would explain how I converted it.

Answer 10

See,

Numerator becomes the exponent and denominator becomes the nth root...

More examples:

For:

\[\huge x^{\frac{2}{3}} = \sqrt[3]{x^2}\]

Answer 11

K tyvm :)

Answer 12

I give you the general formula for this:

\[\huge \color{blue}{x^{\frac{y}{n}}= \sqrt[n]{x^y}}\]

Answer 13

Welcome dear..

All you have to do is to replace y and n according to the question..

Answer 14

K. Tyvm :) I just didn't know how to explain it (Part 3) but now I do :D