Exponent Rules, Version 2

Negative Exponents

100

Rewrite with positive exponent: 

x^-2

1/x^2

200

Rewrite with positive exponent: 3^-2  

1/3^2

300

Rewrite with positive exponent AND as a simplified fraction: 

4^-2

1/4^2 and 1/16

400

Rewrite with positive exponents only:

x^-2*8^-3

1/(8^3x^2) or 1/(512x^2)

500

Rewrite with positive exponents:

x^-3*y^2

y^2/x^3

Zero Exponents

100

5⁰

1

200

9x⁰

9

300

6(x+y)⁰

6

400

4x⁰y⁰z⁴

4z⁴

500

x⁰+y⁰+z⁰

3

Product/Quotient Rules

100

6^3*6^2

6^5 or 7,776

200

4^6/4^3

4^3  or  64

300

5^2/5^3

1/5 or 5^-1

400

(x^5y^8)/(xy)

x^4y^7

500

(x^3y^2*x^3y^2)/(x^2*x^2)

x^2y^4

Power of a Power

100

(2²)⁴

2⁸

200

(x²)⁵

x¹⁰

300

(y⁶x⁴)⁵

y³⁰x²⁰

400

(5²x⁴)³

5⁶x¹²

500

(8*v^-2)⁶ rewrite with only positive exponents

8⁶/v¹²