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Try reviewing these fundamentals first

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Still Confused?

Try reviewing these fundamentals first

Still Confused?

Try reviewing these fundamentals first

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

8.

Exponents

8.1

Product rule of exponents

8.2

Quotient rule of exponents

8.3

Power of a product rule

8.4

Power of a quotient rule

8.5

Power of a power rule

8.6

Negative exponent rule

8.7

Combining the exponent rules

8.8

Scientific notation

8.9

Convert between radicals and rational exponents

8.10

Solving for exponents

We have over 1380 practice questions in NZ Year 11 Maths for you to master.

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