Still Confused?

Try reviewing these fundamentals first

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- Exponents

Still Confused?

Try reviewing these fundamentals first

Still Confused?

Try reviewing these fundamentals first

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Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started Now- Intro Lesson6:50
- Lesson: 1a0:57
- Lesson: 1b1:04
- Lesson: 2a1:28
- Lesson: 2b1:33
- Lesson: 2c1:27
- Lesson: 3a0:32
- Lesson: 3b1:11
- Lesson: 3c0:58
- Lesson: 3d1:28
- Lesson: 3e1:04

We will learn how to convert between radicals and rational exponents in this lesson. Therefore, it is a good idea to brush up on your understanding of all the basic rules of exponents before stating to watch the lesson.

Basic Concepts: Evaluating and simplifying radicals, Converting radicals to mixed radicals, Converting radicals to entire radicals, Combining the exponent rules

Related Concepts: Conversion between entire radicals and mixed radicals, Exponents: Rational exponents

${A^{x/y}} = {^y}\sqrt{A^x}$

- Introductiona)How to convert between radicals and rational exponents?
- 1.Write the following in the radical forma)${27^{- \frac{2}{3}}}$b)$(-8 {)^{- \frac{3}{5}}}$
- 2.Write the answer with positive exponents and then as entire radicala)$( \frac{9}{4}{)^{- \frac{3}{4}}}$b)$-(-16 {)^{- \frac{4}{5}}}$c)$\frac{(5 {x^\frac{3}{7}} )}{(25 {x^{- \frac{3}{7}})}}$
- 3.Write the answer as a power and evaluatea)${^5}\sqrt{a^3}$b)$\sqrt{{^3}\sqrt{81}}$c)$(4 {^3}\sqrt{y} )(3 {^3}\sqrt{y} )$d)$( {^4}\sqrt{3y-4} {)^{-3}}$e)$- {^5}\sqrt{(-x{)^3}}$

26.

Exponents

26.1

Product rule of exponents

26.2

Quotient rule of exponents

26.3

Power of a product rule

26.4

Power of a quotient rule

26.5

Power of a power rule

26.6

Negative exponent rule

26.7

Combining the exponent rules

26.8

Scientific notation

26.9

Convert between radicals and rational exponents

26.10

Solving for exponents

We have over 2320 practice questions in ACCUPLACER Test Prep for you to master.

Get Started Now26.1

Product rule of exponents

26.2

Quotient rule of exponents

26.3

Power of a product rule

26.4

Power of a quotient rule

26.5

Power of a power rule

26.6

Negative exponent rule

26.7

Combining the exponent rules

26.8

Scientific notation

26.9

Convert between radicals and rational exponents

26.10

Solving for exponents