Question

Simplify the given expression to rational exponent form, justify each step by identifying the properties of rational exponents used. All work must be shown.

Answer 1

\[1 \over \sqrt[3]{x^-6}\]

Answer 2

A radical can be written as rational exponent,

\(\huge \frac{1}{\sqrt[3]{x^-6}} \)

\(\huge \frac{1}{x^\frac{-6}{3}} \)

Answer 3

3 goes in 6,
so simplify exponent in the bottom

Answer 4

\(\huge \frac{1}{x^{-2}} \)

Answer 5

using the negative exponent property, that simplifies to what ?

Answer 6

I'm not sure :S, i'm new to exponents lol

Answer 7

would you divide -2 by 1?

Answer 8

negative exponent property says :-

\(\large \color{red}{\frac{1}{a^{-m}} = a^m} \)

Answer 9

x^2?

Answer 10

yup !

Answer 11

alright gimme a sec to write this down xD