Question

Just answer to a LEQ.. medal and a fan.

How can the properties of rational exponents be applied to simplify expressions with radicals or rational exponents?

Answer 1

well we can write

\[\huge \sqrt{2} = 2^{\frac{1}{2}}\] for example...and also
\[\huge \sqrt[5]{78}^3 = 78^{\frac{3}{5}}\]

Answer 2

It can work the opposite way too...

\[\huge 6^\frac{10}{2} = \sqrt{6}^{10}\]

or

\[\huge 2^\frac{1}{7} = \sqrt[7]{2}\]

Answer 3

how do you put that into words?

Answer 4

hmm...

if you have an expression with a radical..you can simplify by expressing the radical as a rational exponent, likewise, if you have an expression with a radical exponent, you can express the function as a radical

Answer 5

Thank you so much . I have like 2 more leq's ill just post them lol i dont wanna over work you

Answer 6

Haha anytime!