Exponent Rule

The Product Rule

100

x⁵*x³

x⁸

200

2²*2¹*2²

32

300

5y²*y⁸

5y¹⁰

400

5x³*5x²

25x⁵

500

7x⁷*2xy³

14x⁸y³

The Quotient Rule

100

x⁷/x⁴

x³

200

5⁵/5³

25

300

7x⁸/x⁶

7x²

400

8x⁵/4x⁴

2x

500

15r¹⁰s⁴/5r⁸s³

3r²s

The Power Rule

100

(a²)⁵

a¹⁰

200

(2²)²

16

300

(y⁴)³

y¹²

400

(x²y)⁴

x⁸y⁴

500

(2x⁵y⁴)³

8x¹⁵y¹²

The Negative Rule & The Zero Rule

100

9⁰

1

200

7^-2

1/49

300

-(9x)⁰

-1

400

x^-2y^-3

1/x²y³

500

1/2^-5

32

Mixed Rules

100

(x^-13)(x⁴)(x⁶)

1/x³

200

(2xy⁴)(xy)⁴

2x⁵y⁸

300

x^-8/x²

1/x¹⁰

400

(5x²y)(2x³y^-3)

10x⁵/y²

500

(-2x³y²z⁰/4x²y³z⁷)^-2

4y²z¹⁴/x²