Integer Exponents (7th Period)

Product of Powers

100

x^3*x^7

x^10

200

5^2\cdot5^6

5^8

300

3x^4*2x^5

6x^9

 or

2*3x^9

400

2a^3b^2\cdot 4a^5b^4

8a^8b^6

500

3x^2y^4\cdot(-2x^5y^3)\cdot 4xy^2

-24x^8y^9

Quotient of Powers

100

x^7/x^3

x^4

200

8^9/8^4

8^5

300

(18x^7)/(6x^2)

3x^5

400

\frac{24a^8b^6}{8a^3b^2}

3a^5b^4

500

frac{-36x^9y^7}{12x^4y^3}

-3x^5y^4

Power of Powers

100

(x^3)^2

x^6

200

(5^2)^4

5^8

300

(3x^2)^3

3^3x^6

400

(-2a^3b^2)^3

(-2)^3a^9b^6

500

[(-3x^2y^3)^2]^3

3^4x^8y^12

Zero/Negative Exponents

100

9^0

1

200

x^-4

1/x^4

300

3^-2

1/3^2

 or 

1/9

400

4x^-3y^0

4/x^3

500

(6x^-2y^3)/(3x^2y^0)

(2y^3)/x^4

Mixed Properties

100

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

x^5

200

(x^2)^3*x^4

x^10

300

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

x^4

400

((3x^2y)^2*x^3)/(9xy^2)

x^6

500

((2x^-2y^3)^2*3x^5)/(6xy^-1)

2y^7