Exponential Rules

Product Rule

100

y^{2 .} y³ =

y⁵

200

m⁴⋅m⁷ =

m¹¹

300

p²⋅p⁻³ =

y^-1

400

(2a³b²)⋅(3a²b⁴)=

6a⁵b⁶

500

(4x³y⁻²)⋅(2x⁻¹y⁵)=

8x²y³

Quotient Rule

100

y⁵ ÷ y²=

y³

200

b⁶ ÷ b⁴ =

b²

300

c⁸ ÷ c² =

c⁶

400

d⁷ ÷ d^-3 =

d¹⁰

500

m⁴n⁻² ÷ m^-1n³ =

m⁵n^-5

Power to Power Rule/Product to Power

100

(y²)³ =

y⁶

200

(x⁵)²=

x¹⁰

300

(w⁴)³=

w¹²

400

(y⁵)⁰=

1

500

(5a²b⁻³)² =

25a⁴b^-6

Zero and Negative Rule/Quotient to Power

100

a⁰=

1

200

y⁻²=

1/y²

300

2⁻³=

1/8

400

2^-3 ÷ 2^-1 =

1/4

500

10x⁶y⁸ ÷ 5x⁴y³ = 

2x²y⁵

Find the value

100

2³⋅2⁻¹=

2² = 4 

200

5⁴ ÷ 5^-2 =

5⁶

300

3^{2 .} 3⁴ ÷ 3³ =

3³ = 27

400

(2²)^-3 =

2^-6 or 1/2⁶= 1/64

500

4^{2 .} 4 = 

4³ = 64