Index Rules

Terms

100

a¹ = 

a⁰ = 

a

1

200

We can only use index rules if powers have the same _________ 

Base

300

The a in aⁿ is called the

Base

400

The n in aⁿ is called the

Exponent or index 

500

aⁿ can be referred to as 

A power

a^m • a^n

100

Simplify: a^{m •} aⁿ

a^{m + n}

200

Simplify: x⁶ • x³ 

x⁹

300

Simplify: 3c² • 5c³ 

15c⁵

400

Simplify: t⁷ • t^k • t

t^k+8

500

Simplify: 4s⁵t² • 7st⁴

28s⁶t⁶

a^m ÷ a^n

100

Simplify: a^m ÷ aⁿ

a^{m - n}

200

Simplify: b⁴ ÷ b 

b³

300

Simplify: 18(d⁴)² ÷ 3d³

6d⁵

400

Simplify: x^y ÷ x⁷

x^y-7

500

Simplify: 14x⁸y² ÷ 2x³y

7x⁵y

(a^m)^n

100

Simplify: (a^m)ⁿ

a^{m • n}

200

Simplify: (g⁵)⁸

g⁴⁰

300

Simplify: (z³)ⁿ

z³ⁿ

400

Simplify: 5q²r • (r³)⁵

5q²r¹⁶

500

Simplify: k^3x ÷ (k^y)⁴

k^3x-4y

Challenge

100

(ab)⁹

(a÷b)⁴

a⁹b⁹

a⁴ ÷ b⁴

200

Simplify: p³ ÷ p⁴

1/p

300

Simplify: q² • q^-5

1/q³

400

Simplify: a^-1

1/a

500

Simplify: a^1/2

²√a