Power & Product Rule of Exponents

Product Rule

1

 3^2 times 3^6 

3^9

2

 s^2 times s^12 

s^14

3

 t^3times t^8 times t 

t^12

4

 y^3 times y^9 times y times y 

y^14

5

 m times m times m^34 times m^12 times m^22 

m^70

Power Rule

1

(x^2)^2

x^4

2

(3y^3)^2

9y^6

3

(4v^4)^3

64v^12

4

(2t^7)^9

512t^63

5

(4y^12)^5

248832y^60

Product Rule - MultiVariable

1

x^2 y^2 times x^2y^2

x^4y^4

2

2x^3t^2 times 3x^2t^4

6x^5t^6

3

-4f^5u times 5fu^7

-20f^6u^8

4

-x^7y^4 times x^12y^13

-x^19y^17

5

-3v^12x^3y times 2v^3xy^14 times -2v^6x^15y^4

12v^21x^19y^19

Power Rule - MultiVariable

1

(x^2y^3)^3

x^6y^9

2

(4x^5t^2)^2

16x^10t^4

3

(5y^3m^7w^4)^4

625y^12m^28w^16

4

(2y^18x^21z^15)^5

32y^90x^105z^75

5

(11ma^14t^12h)^3

1331m^3a^42t^36h^3

Grab Bag

1

What is the slope in the equation?

y=-3x+5

Slope: -3

2

Simplify the fraction

18/24

3/4

3

Solve the following as a simplified fraction

3/5 +5/6=?

43/30

4

Solve for x

3x-2=16

x=6

5

Simplify the following

(y^4)^3 times (5y^9)^2

25y^30