Indices with Ms Downey

Movie Title Maths

100

“___ Day in September”

One

200

This movie title is a number associated with circles

Pi 

300

“The Lord of the Rings: The ___ Towers”

Times

"District ___"

18 (2 x 9)

400

“Apollo ___” Squared

169

500

The quotient of " __ Monkeys" and 

"The __ Commandments"

1.2 (12/10)

Positive Indices

100

simplify 4⁵ x 3⁴ x 4²

4⁷ x 3⁴

200

Simplify 2⁴ x 5⁷ x 5³ x 6² x 6⁸

2⁴ x 5¹⁰ x 6¹⁰

300

Simplify 3⁹÷3²

3⁷

400

Simplify 3x⁷y⁵z³÷9x⁴y³z

3x³yz²÷9

500

Simplify 6³ x 6³ x 8⁵ x 8⁶ = __________x 8⁶ x 6²

6⁴ x 8⁵

Zero Index-answers as whole numbers

100

2³ x 2⁰ (No calculator)

8

200

4² x 8⁰ (No calculator) 

16

300

(4⁰)² (No calculator)

1

400

4⁰ x 3² = _____ x 6⁰ (No calculator)

9

500

4³ x 3⁷ x 4^-³ x 3^-⁵ (No calculator)

9

Negative Indices

100

6³ x 6^-³

1

200

4 x 2^-³

1/2

300

5÷2^-²

1 1/4 or 5/4

400

8^-⁶÷8^-⁴ without negative powers

⅟8² or ⅟64

500

100 x 10^-¹

10

Exponential Equations

100

2^x=4, x = ?

x=2

200

2^x=16, x= ?

x=4

300

(⅓)^x =81, x= ?

X= -4

400

4^-x=⅟₁₆, x= ?

X=2

500

6^z=36^z , z = ?

Z=0