Index Laws & Scientific Notations

Multiplication

100

a² x a³ =

a5

200

y⁵ x y² =

y⁷

300

r⁵ x r⁷ x r^{3 =}

r¹⁵

400

b³ x b x b³ x b⁶

b¹³

500

b⁴ x y⁴ x y⁴ x b³

b⁷y⁸

Division

100

x⁵ ÷ x²

x³

200

y⁷ ÷ y⁴

y³

300

a¹⁰÷ a³ 

a⁷

400

4a⁴ ÷  2a³ =

2a

500

10x⁶ ÷ 5x³

2x³

Power of Power

100

(a²)⁴

a⁸

200

(b⁴)⁵

b²⁰

300

(y⁴)¹²

y⁴⁸

400

((m²)³)²

m¹²

500

((a³)⁴)³

a³⁶

Random #1

100

n⁰

1

200

3^-4

1 / 3⁴

300

3m¹⁰ x 5m^{2 =}

15m¹²

400

(b³ x b²) ÷ b²

b³

500

2m⁴ x 7t³ x 3t⁵ x 4m³

8m⁷ x 21t⁸

Scientific Notation

100

True or false: the first step in converting large numbers into scientific notation is producing a number that fits between 1 and 10 (e.g. 3.5)

True! You need this in order to establish the decimal placement 

200

Convert the following into its original number:

9.7 x 10⁵

970000

300

Convert the following into scientific notation:

35600

3.56 x 10⁴

400

Convert the following into a scientific notation

0.000000423

4.23 x 10^-7

500

Convert the following into its original form:

3.898 x 10^-12

0.000000000003898