Laws of Exponents 1 Product Law 1 Product

Laws of Exponents

1. Product Law

1. Product Law m n m + n a x a = a

1. Product Law m n m + n a x a = a Do you want proof?

3 2 1. Product Law 4 x 2

3 2 1. Product Law 4 x 2 = 2 x 2 x 2

1. Product Law 3 4 2 x 2 = 2 x 2 x 2 x

1. Product Law 3 4 2 x 2 = 2 x 2 x 2

1. Product Law 3 4 2 x 2 = 2 x 2 x 2 = 7 2

1. Product Law 3 4 2 x 2 = 2 x 2 x 2 7 2 = 3+4 = 2

1. Product Law Since 3 4 3 + 4 2 x 2 = 2

1. Product Law Therefore, m n m + n a x a = a

2. Quotient Law

2. Quotient Law m n a ÷ a = a

2. Quotient Law m n m – n a ÷ a = a Do you want proof?

2. Quotient Law 6 4 2 ÷ 2

2. Quotient Law 6 4 2 ÷ 2 6 = 2. 4 2

2. Quotient Law = 2 x 2 x 2 x 2

2. Quotient Law = 2 x 2 x 2 x 2 = 2 x 2

2. Quotient Law 2 = 2

2. Quotient Law 2 = 2 6 4 = 2

2. Quotient Law Since 6 4 2 ÷ 2 =2

2. Quotient Law Therefore m n a ÷a = a

3. Power Law

3. Power Law m n m x n (a ) = a

3. Power Law m n m x n (a ) = a Do you want proof?

3. Power Law 3 4 (2 )

3. Power Law 3 4 (2 ) =(2 x 2 x 2) 4

3. Power Law 3 4 (2 ) =(2 x 2 x 2) 4 =(2 x 2 x 2)

3. Power Law 3 4 (2 ) =(2 x 2 x 2) 4 =(2 x 2 x 2) x (2 x 2 x 2)

3. Power Law 3 4 (2 ) =(2 x 2 x 2) 4 =(2 x 2 x 2) x (2 x 2 x 2)

3. Power Law 3 4 (2 ) =(2 x 2 x 2) 4 =(2 x 2 x 2) x (2 x 2 x 2)

3. Power Law 3 4 (2 ) =(2 x 2 x 2) 4 =(2 x 2 x 2) x (2 x 2 x 2) 12 =2

3. Power Law Since 3 4 3 x 4 (2 ) = 2

3. Power Law Therefore m n m x n (a ) = a