Exponent Rules

Product Rule

100

Simplify:

x² ∗ x³

x⁵

200

Simplify:

2m³ ∗ m⁴

2m⁷

300

Simplify:

3q⁴ ∗ 4q³

12q⁷

400

Simplify:

5ab² ∗ 3a²b⁶

15a³b⁸

500

Simplify:

12r^-3s² ∗ -5r⁵s⁸

-60r²s¹⁰

Quotient Rule

100

Simplify:

x³ / x²

x

200

Simplify:

(6m⁵) / (3m²)

2m³

300

Simplify:

(36r⁸) / (12r⁵)

3r³

400

Simplify:

(8p⁷q⁵r) / (2p⁵q⁴r)

4p²q

500

Simplify:

(14j^-3k⁸) / (-7j^-6k³)

-2j³k⁵

Power Rule

100

Simplify:

(w⁴)²

w⁸

200

Simplify:

(2h⁴)³

8h¹²

300

Simplify:

4(x⁶)⁵

4x³⁰

400

Simplify:

(-4p⁸q²)²

16p¹⁶q⁴

500

Simplify:

(-4x³y⁸z)³

-64x⁹y²⁴z³

Negative Rule

100

Simplify:

a^-4

1 / a⁴

200

Simplify:

12x^-3

12 / x³

300

Simplify:

-4t^-4

-4 / t⁴

400

Simplify:

13q²r^-4s

13q²s / r⁴

500

Simplify:

5^-3x⁴y^-2z⁶

x⁴z⁶ / 125y²

Anything Goes

100

Simplify:

3a² + 4a²

7a²

200

Simplify:

7x²y³ - 3x³y²

7x²y³ - 3x³y²

Cannot be simplified further - Not like terms

300

Simplify:

(x²)³ ∗ (5x^-3)^-2

x¹² / 25

400

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30-Second Dance Party!

500

Simplify:

(-4q²r⁴s⁶)³ + (3q^-3r^-6s^-9)^-2

-55q⁶r¹²s¹⁸