Exponent Rules

Product Rule

100

x^2 *x^3

x⁵

200

x^2 * x^3 * x

x⁶

300

3x^4 *5x^6

15x¹⁰

400

-4x^3*2x^4 * 3x^2

-24x⁹

500

x^2 * x^5 * x^-7

1

Quotient Rule

100

x^5/x^2

x³

200

(40x^7) /(5x^2)

8x⁵

300

(-42x^9)/(6x^8)

-7x

400

(3x^20) /(6x^5)

x^15/(2

500

(4x^7)/(6x^7)

2/3

Power Rule

100

(x^5)^2

x¹⁰

200

(3x^4)^2

9x⁸

300

(-2x^7)^3

-8x²¹

400

(5x^7)^0

1

500

(2x^2y^4)^3

8x⁶y¹²

Negative Exponents

100

x^-5

1/x^5

200

3x^-2

3/(x^2)

300

x^4*x^-9

1/(x^5)

400

8/(2x^-6)

4x⁶

500

x^-3/(y^-5

y^5/(x^3)

Everything!

100

(x^3*x^5)/(x^2)

x⁶

200

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

x⁵

300

((2x^5)(6x^4))/(3x^2)

4x⁷

400

((x^2)^3)^4

x²⁴

500

(x^2*x^5)^-4

1/(x^28)