Exponent Rules

Exponents of 0 or 1

100

X¹ =

x

200

x⁰ =

1

300

15⁰ =

1

400

15¹ =

15

500

3¹ + 5⁰ =

4

Product of Powers (x)

100

x³ (x⁴) =

x⁷

200

r¹⁵ (r²) =

r¹⁷

300

t⁸ (t⁸) =

t¹⁶

400

3b⁵ (5b²⁵) =

15b³⁰

500

y⁴ (y⁵) (y⁶) =

y¹⁵

Quotient of Powers (/)

100

x^9 / x^4 =

x⁵

200

y^15 / y^8 =

y⁷

300

p^28 / p^6 =

p²²

400

(6x^8)/(3x^3) =

2x⁵

500

(15m^20)/(3m^12) =

5m⁸

Power to a Power

100

(x²)³ =

x⁶

200

(y¹⁵)² =

y³⁰

300

(t³)⁷ =

t²¹

400

(2x³)² =

4x⁶

500

(5y³)³ =

125y⁹

Negative Exponents

100

X^-2 =

1/x^2

200

y^-9 =

1/y^9

300

x⁵y^-2 =

x^5/y^2

400

2x^-3m⁴ =

(2m^4)/x^3

500

(2x^-3)/(3b^-2)

(2b^2)/(3x^3)