Exponents

Product Rule

100

3x³ * 4x²

12x⁵

200

10x⁴ * x⁰

10x⁴

300

3x⁴ * 3x² * 3x⁶

27x¹²

400

5x³y⁴z * 3x²yz

15x⁵y⁵z²

500

100x⁴y³z⁴ * x⁰y⁰

100x⁴y³z⁴

Quotient Rule

100

100/50

2

200

50x³/100x

1x²/2

300

6x³/3x²

2x

400

7x⁴y³/3x³y⁵

7x/3y²

500

100x⁶y⁶z⁶/50x⁶y⁶z⁶

2

Power Rule

100

(x²)³

x⁶

200

(7x⁵)²

49x¹⁰

300

(9x³y⁶)²

81x⁶y¹²

400

(5x⁴y³z)³

125x¹²y⁹z³

500

(100x⁴y⁵z³)⁰

1

Negative Rule

100

Rewrite:

x^-3

1/x³

200

Rewrite without negative exponents:

1/ x^-4

x⁴

300

Rewrite with no negative exponents:

x^-2 / y^-3

y³/ x²

400

Rewrite without negative exponents:

7x^-2y^-5

7/x²y⁵

500

Rewrite without negative exponents:

100x⁴y³z/50x^-2y^-3z^-2

2x⁶y⁶z³