Indices

Laws of Indices

100

What are the rules for positive indices?

When multiplying, add the exponents When dividing, subtract the exponents

200

What is the rule for the zero index?

Anything raised to a 0 is a 1

300

What are the rules for negative indices?

Flip the negative number to the oppside side (find the recipical)

400

What are exponential equations?

Equations that involve indices as unknowns.

500

What is Ms Shields' Hogwarts house? 

Ravenclaw duh 

Positive Indices

100

simplify 4⁵* 3⁴* 4²

4⁷ * 3⁴

200

What school did Ms Shields go to?

Gosford High #represent

300

Simplify 3⁹÷3²

3⁷

400

Simplify 3x⁷y⁵z³÷9x⁴y³z

3x³yz²÷9

500

Simplify 6³*6³*8⁵*8⁶/ (8⁶*6²)

6⁴*8⁵

Zero Index

100

2³*2⁰ (no calculator)

8

200

4²*8⁰ (no calc)

16

300

(4⁰)² (no calc)

1

400

4⁰*3²*6⁰ (no calc)

9

500

4³*3⁷*4-³*3-⁵  (no calc)

9

Negative Indices

100

6³*6-³

1

200

What town did Ms Shields live in last year? 

Gunnedah

300

5÷2-²

1 1/4

400

8-⁶÷8-⁴

⅟8² or ⅟64

500

100*10-¹

10

Exponential Equations

100

2^x =4

x=2

200

2^x=16

x=4

300

(⅓)^x =81

X= -4

400

4^-x=⅟₁₆

X=2

500

6^z=36^z

Z=0