Fractional Indices

Fractional Indices/Exponents

Lesson Objectives;

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

Multiple Choice

Evaluate

• 27

• 729

• 9

• 81

Multiple Choice

Simplify:

• 2

• 8

• 16

• 32

Multiple Choice

$$27^{\frac{2}{3}}=?$$  

• $$27\cdot\frac{2}{3}$$  

• $$\left(^3\sqrt{27}\right)^2$$  

• $$27\div\frac{2}{3}$$  

• $$\left(\sqrt{27}\right)^3$$  

Multiple Choice

Evaluate

• 1/1331

• 1331

• -1331

• -1/1331

Multiple Choice

Evaluate

• 5/4

• 4/5

• 5/2

• 2/5

Multiple Choice

Evaluate

• 5/4

• 4/5

• 2/5

• 3/4

Multiple Choice

Evaluate

• 9/4

• 4/9

• 4/6

• 6/4

Multiple Choice

Evaluate

• 5/6

• 25/6

• 25/9

• 9/25

Multiple Choice

Evaluate

• 0.3

• 0.9

• 3

• 0.03

Multiple Choice

If 5ⁿ = 125 find n.

• 25
• 1/3
• -3
• 3