Exponents

Multiplying with Exponents

100

n^3*n^2

n^5

200

5^3*5^3

5^6

300

z^3*z^5*z

z^9

400

xy^2*x^3y^4

x^4y^6

500

2abc*3a^2b*ab^2

6a^4b^4c

Dividing with Exponents

100

n^5/n^3

n^2

200

4^3/4

4^2

300

(x^6y^6)/(x^2y^3)

x^4y^3

400

(2ab)/(ab)

2

500

(10x^10y^4)/(5x^5y^2)

2x^5y^2

The Power Rule

100

(n^3)^2

n^6

200

(5^3)^3

5^9

300

(ab^2)^3

a^3b^6

400

(2x^3y^2)^3

8x^9y^6

500

(5ab^3c)^3

125a^3b^9c^3

Mixed

100

4^8/4^4

4^4

200

z^3*z*z^3

z^7

300

(x^3*x^2)/x^4

x

400

(x^2)^3*(x^3)^4

x^18

500

((a^2b^2)^3*a^4b)/(a^6b^3)

a^4b^4

Rules

100

When I multiply or divide with exponents, I always do this with the base.

Keep it!

200

When multiplying with exponents, I __________ the exponents.

add

300

When dividing with exponents, I __________ the exponents.

subtract

400

Anything to the power of zero is equals __________

1

500

When an exponent is raised to another exponent, I __________ the exponents. 

multiply