Fractional Exponents

Fractional Indices/Exponents

Lesson Objectives;

• ​state and use fractional index laws to simplify indices involving rational/fractional powers.

​Nth Root of a number

​Watch an explanation about the nth root of a number, make some notes and respond to the quick quiz to check you understanding.

Grade 9 Maths - Google Jamboard.webm - Google Drive

You can open this webpage in a new tab.

Copy link

Open in new tab

Multiple Choice

Simplify

$$^3\sqrt{125}$$  

• 5

• 15

• 25

• 41.7

Multiple Choice

What is the cube root of 8?

• 4

• 2

• -2

• -4

Multiple Choice

∛125 =

• 4

• 3

• 2

• 5

Multiple Choice

∛64 =

• 5

• 4

• 2

• 13

Multiple Choice

Simplify:

• 3

• 8³

• 8

• No Solution

Fractional Indices/Powers

​Watch an explanation about fractional indices, make some notes and respond to the quick quiz to check you understanding.

Fractional Index laws.webm - Google Drive

You can open this webpage in a new tab.

Copy link

Open in new tab

Evaluating expressions using fractional Indices.mp4 - Google Drive

You can open this webpage in a new tab.

Copy link

Open in new tab

Multiple Choice

What is the value of 27^⅓?

• 27

• 9

• 3

• 1/3

Multiple Choice

Rewrite the following expression

• 4^1/2

• 4

• 1

• 4^2/4

Multiple Choice

Simplify:

• 2

• 8

• 16

• 32

Multiple Choice

Simplify the following expression:

• 2

• 4

• 16

• 64

Multiple Choice

Evaluate 4^5/2

• 32

• 16

• 8

• 2

Multiple Choice

Write as a radical expression y^1/3

• ∛y

• y³

• √y

• 1∕ 3y

​The End

Multiple Choice

Rewrite into radical form x^3/4

• ∜x³

• ∛x⁴

• ∜x

• ∛x