Math 8:Exponent Rules

Product Rule

100

Simplify  x^3*x^4 

x^7

200

Simplify  x^2y^5*xy^6 

 x^3y^11 

300

Simplify  (1/8)^6*(1/8)^2*(1/8)^5 

 (1/8)^13 

400

Simplify  2b^3*9b^2*b^7 

 18b^12 

500

Simplify  a^4b^5*3a^7b^2*20ab 

 60a^12b^8 

Power Rule

100

Simplify  (y^4)^9 

y^36

200

Simplify  (ab^2)^8 

 a^8b^16 

300

Simplify  (2q^2)^3 

 8q^6 

400

Simplify  (10a^2b^4c^8)^7 

Write your answer using exponents.

 10^7a^14b^28c^56 

500

Simplify  (3/4mn^12p^5)^3 

 27/64m^3n^36p^15 

Quotient Rule

100

Simplify  a^17/a^3 

a^14

200

Simplify  (9x^4y^6)/(3xy^5) 

 3x^3y 

300

Simplify  h^3.14/h^3.14 

1

400

Simplify  (3^3f^10g^13)/(3f^10g^10) 

 9g^3 

500

Simplify  y^-20/y^-30 

 y^10 

Negative Exponents

100

Simplify  a^-10 

 1/a^10 

200

Simplify  1/8^-2 

64

300

Simplify  2^-2/x^-19 

 x^19/4 

400

Simplify  (w^12)^-5 

 1/w^60 

500

Simplify  (3/x^2)^-4 

 x^8/81 

Mixed Problems

100

Simplify  ((2r^3h^5v^-17)/(5r-10x^5z^18))^0 

1

200

Simplify  (2m*5m^3)^2 

 100m^8 

300

Simplify  (x^6*x^12)/(x^9*x^-4 

 x^13 

400

Simplify  ((\pi^14r^11)/(\pi^14r^4))^3 

 r^21 

500

Simplify  (xy^2)^3*(x^2y^3)^3 

 x^9y^15