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Try reviewing these fundamentals first.

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- Laws of Indices

Still Confused?

Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

Nope, I got it.

That's that last lesson.

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

17.

Laws of Indices

17.1

Product rule of exponents

17.2

Quotient rule of exponents

17.3

Power of a product rule

17.4

Power of a quotient rule

17.5

Power of a power rule

17.6

Negative exponent rule

17.7

Combining the exponent rules

17.8

Standard form

17.9

Convert between radicals and rational exponents

17.10

Solving for indices

We have over 1410 practice questions in UK Year 10 Maths for you to master.

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