Exponent Rules Review!

Multiplying

100

What is the rule for multiplying exponents?

Add the exponents, keep the bases the same

200

x² * x⁴

x⁶

300

a¹⁰ * a^-2

a⁸

400

r⁴s⁵ * r¹⁰s³

r¹⁴s⁸

500

x⁶y⁴z² * x²y⁴z⁶

x⁸y⁸z⁸

Dividing

100

What is the rule for dividing exponents?

Subtract the exponents, keep the bases the same

200

x⁵ / x²

x³

300

p¹⁰⁰ / p²⁵

p⁷⁵

400

e⁹f⁷ / e⁶f³

e³f⁴

500

x³y¹¹z⁶ / xy³z⁵

x²y⁸z

Like Terms

100

What do terms have to have in common to be "like terms"? (There are 2 things)

Same base AND same exponent

200

Are these like terms?

2x³ and 4x³

Yes! Same base (x) and same exponent (3)

300

Combine like terms!

4a³ + 2a + 3a³

7a³ + 2a

400

Combine like terms!

3g⁴ + 2g² - 2g⁴ + 3g²

g⁴ + 5g²

500

Combine like terms!

a³ + b³ + 4 + 4b³ + 6a³ + 10

7a³ + 5b³ + 14

Power to a Power

100

What is the rule when an exponent is raised to a power?

Multiply the exponents, keep the bases the same

200

(x²)³

x⁶

300

(x¹⁰)³

x³⁰

400

(a²b⁴)²

a⁴b⁸

500

(j⁵k²l⁶)⁴

j²⁰k⁸l²⁴