Exponent Laws

Product of Powers

100

C³ * C³

C⁶

200

x³ * x⁵ * x^-2

x ⁶

300

2w² * 4w

8w³

400

x^-8 * x⁶

1/x^2

500

6C^-7 * 2C⁴ *2C³

24

Quotient of Powers

100

5³  / 5²

5¹ or 5

200

8⁴/8²

8²

300

(3x^5)/x^3

3x²

400

(3x^7)/(3x^-3)

x¹⁰

500

-10m⁵/2m

-5m⁴

Power of Powers

100

(c²)³

C⁶

200

(4^-1)^-3

4³

300

(3x³)²

3²x⁶ or 9x⁶

400

(x^-3y^4)^-5

x^15/y^20

500

(3x^-1)^-3

x³/3³  or x³/27

Negative/Zero Exponents

100

Write the following with a positive exponent

x^-6

1/x⁶

200

x⁰

1

300

Write the following with positive exponents

1/x^-3

x³

400

x^-10/x^-20

x ¹⁰

500

Simplify and write with a positive exponent

((9x^4y^5z^-6)/(4x^-7y^2z^4))^0

1

Misc

100

Write  with positive exponents 

x^-3 * y^-2

1/(x^3y^2)

200

(x^-2x^5)/x^-2

x⁵

300

(y⁶)^-2

1/y^12

400

(-24x^2)/(4x^5)

-6/x³

500

(x^-4 * x¹² * x² * x^-1 * x^-3 )²

x¹²