Still Confused?

Try reviewing these fundamentals first.

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Still Confused?

Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

Nope, I got it.

That's that last lesson.

Start 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 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)$- {^5}\sqrt{(-x{)^3}}$

24.

Exponents

24.1

Product rule of exponents

24.2

Quotient rule of exponents

24.3

Power of a product rule

24.4

Power of a quotient rule

24.5

Power of a power rule

24.6

Negative exponent rule

24.7

Combining the exponent rules

24.8

Scientific notation

24.9

Convert between radicals and rational exponents

24.10

Solving for exponents

We have over 1330 practice questions in Third Year Maths for you to master.

Get Started Now24.1

Product rule of exponents

24.2

Quotient rule of exponents

24.3

Power of a product rule

24.4

Power of a quotient rule

24.5

Power of a power rule

24.6

Negative exponent rule

24.7

Combining the exponent rules

24.8

Scientific notation

24.9

Convert between radicals and rational exponents

24.10

Solving for exponents