Laws of Exponents

Division Properties

100

x⁵/x³=?

x²

200

9x³/3x=?

3x²

300

7x⁹/14x⁵=?

1/2x⁴

400

.5⁵/.5^-5=?

.5¹⁰

500

What do you do to divide powers with the same base?

You Subtract the exponents😜

Multiplication Properties

100

y²        x         y⁶=?

y⁸

200

(3x²)(3x⁴)=?

9x⁶

300

(5x¹⁰)(10x⁵)=?

50x¹⁵

400

(27p¹⁵) x (9p²⁹³)=?

243p³⁰⁸

500

What do you do to multiply powers with the same base?

You add the exponents😈

Zero Property

100

z⁰=?

1

200

(y⁰/y⁰)⁰=?

1

300

(x³/y⁰)⁴=?

x¹²

400

(3y⁴)³ x (4y⁰) = ?

108y¹²

500

What is the zero property?

Any number to the zero power equals one.👹

Negative exponents

100

y^-3=?

1/y³

200

(y²/x⁴)^-5=?

x²⁰/y¹⁰ 

300

(y^-2/x⁵)^-2=?

x¹⁰/y⁴

400

(x^-5/y^-8)^-2=?

y¹⁶/x¹⁰

500

What do you do with a negative exponents?

Switch expression to the other side of the fraction. 👽

Power of a Power

100

(x²)⁶=?

x¹²

200

(y¹⁰)⁵=?

y⁵⁰

300

(p¹⁵)¹⁴

p²¹⁰

400

(y²³⁸)²⁶=?

y⁶¹⁸⁸

500

What do you do when their is a power to a power?

You multiply the exponents.😻