Question

1.Create your own term using a rational exponent.

2: Convert it to a radical expression.

3: Explain, in complete sentences, how the expression was converted

Answer 1

So the cool thing about rational exponents is that the numerator just becomes a power and the denominator just becomes a root. Easy-peasy-parchesie.
\[\Large x^\frac{a}{b} = \sqrt[b]{x^a}\]

Answer 2

am i suppose to make up my own x a & b?

Answer 3

Aw, yeah gurl.
Rational exponent just means that it's a fraction. So make an exponent that is a fraction, and then use the rule to write it as a power and a root instead.

Answer 4

oh okay. So if i was to use 61/3 then the rational exponet would be 3squareroot6?

Answer 5

*6^1/3

Answer 6

Yes =)

Answer 7

thanks:)

Answer 8

\[\Large 6^\frac{1}{3} = \sqrt[3]{6^1}\]

Answer 9

:) got it!