Multiplying Exponents

Negative/Zero Exponents

100

3⁰

1

200

-5⁰

-1

300

4^-3

1/64

400

(-5)^-3 / x^-2

-x² / 125

500

3x^-3 / yd⁰

3 / x³ y

Multiplying Exponents

100

x² x³

x⁵

200

4² 4⁶ 4^-3

4⁵ = 1,024

300

(-3r²) (5r⁶)

-15r⁸

400

(x^-5 y^-2) (x³ y⁷)

Write with positive exponents only!

y⁵ / x²

500

(-3 x^-4 z³) (-4 x⁴ z²)

12 z⁵

Power to a Power

100

(x³)⁴

x¹²

200

(y^-3)⁵

1 / y¹⁵

300

(x²)⁵ (x^-1)³

x⁷

400

(y²)⁰ (x^-2)^-3 

x⁶

500

(z^-5)³ (z³)⁴

1 / z³

Product to a Power

100

(2x)³

8x³

200

(-3y²)³

-27y⁶

300

(2 x^-4 y³ z)⁴

16 y¹² z⁴ / x¹⁶

400

(-3 a³ b^-2)² (2 a^-1 b³)^-1

9 a⁷ / 2 b³

500

(12 a² b^-3 c)⁰ (a^-1 b^-3 c⁰)^-2 

a² b⁶

Random

100

g^-3 z⁰ 

1 / g³

200

7 a^-2 b / 14 x y^-4

b y⁴ / 2 a² x

300

0⁰

undefined

400

Review! What are the 3 types of solutions to a system of linear equations?

one solution, no solution, infinitely many solutions

500

3 a⁰ b^-1 c³ / 9 d e^-5 f²

c³ e⁵ / 3 b d f²