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.

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- Lesson: 1a0:57
- Lesson: 1b1:04
- Lesson: 2a1:28
- Lesson: 2b1:33
- Lesson: 2c1:27
- Lesson: 3a0:32
- Lesson: 3c1:11
- Lesson: 3d0:58
- Lesson: 3e1:28
- Lesson: 3f1:04

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,

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

- 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)$1/ {^4}\sqrt{a^7}$c)$\sqrt{{^3}\sqrt{81}}$d)$(4 {^3}\sqrt{y} )(3 {^3}\sqrt{y} )$e)$( {^4}\sqrt{3y-4} {)^{-3}}$f)$- {^5}\sqrt{(-x{)^3}}$

15.

Exponents

15.1

Product rule of exponents

15.2

Quotient rule of exponents

15.3

Power of a product rule

15.4

Power of a quotient rule

15.5

Power of a power rule

15.6

Negative exponent rule

15.7

Combining the exponent rules

15.8

Scientific notation

15.9

Convert between radicals and rational exponents

15.10

Solving for exponents

We have over 1180 practice questions in NZ Year 10 Maths for you to master.

Get Started Now15.1

Product rule of exponents

15.2

Quotient rule of exponents

15.3

Power of a product rule

15.4

Power of a quotient rule

15.5

Power of a power rule

15.6

Negative exponent rule

15.7

Combining the exponent rules

15.8

Scientific notation

15.9

Convert between radicals and rational exponents

15.10

Solving for exponents