Exponent Properties

Vocabulary

100

For which property do you keep the base and subtract the exponents?

Quotient Rule

200

Which property tells you to keep the base and multiply the exponents. 

Power to a Power Rule

300

For which property do you take the reciprocal of the negative power?

Negative exponents

400

Which property tells you to raise each factor to the exponent on the outside of the parentheses?  

Product to a Power Rule

500

Any number/variable to the power of zero is equal to 1

Zero Power

Name that Property

100

2^-1 = 1/2

Negative Exponent

200

x^5/x^3 = x ^(5-3)

Quotient Rule

300

(5 * 3)^0 = 1

Zero Rule

400

(4^2)^3 = 4^6

Power to a Power Rule

500

1/(3)^-5 = 3 ^5

Negative exponent

Product Rules

100

Simplify.

5^2 * 5^10

5^12

200

Simplify.    

(9 * 12)^5

9^5 * 12^5

300

Simplify.

a^7 * a^14

a^21

400

Simplify

(4m^6n^2)^3

4^3 m ^18 n ^ 6

500

Simplify

(x * y^2)^5 * x^3

x^8 * y^10

Quotient Rules

100

Simplify.

2^15/2^8

2^7

200

Simplify.

(2/(ab))^12

2^12/(a^12 b ^12)

300

Simplify

(a^7b)/a^5

a^2b

400

Simplify

(3 x ^3 y^ 7 z ^ 9)/ (2 x^ 2 z ^5)

(3 x y ^7 z ^ 4)/2

500

Simplify

(x^10y^8z^2)/(x^3y^4z)

x^7y^4z

Random

100

Simplify

(12^8 a ^2)^3

12^24 a ^ 6

200

Simplify

(b^12)^7 / (a ^2)

b^84 / a ^2

300

Simplify

(x/b)^0

1

400

Simplify

(r^2)/(4r^4)

 1/ (4r^2)

500

Simplify

(a^2 * b^3)^2

a^4 *b^6