Laws of Exponents

Multiplying Powers

100

x^2*x^3

x^5

200

2x^7*7x^9

14x^16

300

2ab*3a^2b^5

6a^3b^6

400

2a^2b^3c^6*7a^2b^4c^2

14a^4b^7c^8

500

-3b^3f^4z^3*2bf^2

-6b^4f^6z^3

Dividing Powers

100

x^5/x^2

x^3

200

(2x^3)/(4x)

x^2/2

300

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

x^2/y

400

(9a^2b^3)/(64a^5b^7)

9/(64a^3b^4)

500

(15a^3b^4c^3)/(12a^3b^3c^10)

(5b)/(4c^7)

Power to Power

100

(a^2)^3

a^6

200

(ab^3)^5

a^5b^15

300

(2a^2b^6)^4

16a^8b^24

400

(2a^3b^-4)^4

16a^12/b^16

500

(7ab^2c^4)^2

49a^2b^4c^8

Negative Exponents

100

x^-1

1/x

200

x^2/x^-5

x^7

300

x^-2y^-1

1/(x^2y)

400

2x^-2y^3*-4x^4y^-5

(-8x^2)/y^2

500

(2x^-3y^-4z^-6)/(4x^-2y^-1z^-5)

1/(2xy^3z)

Quotient to Power

100

(x/y^2)^2

(x^2/y^4)

200

((2b^3f)/g)^3

(8b^9f^3)/(g^3)

300

((4ab)/(8ab^2))^2

(1/(4b^2))

400

((15bc)/(3b^2c^3))^2

25/(b^2c^4)

500

((75a^2b^3c^4)/(3abc))^2

625a^3b^2c^2

Fractional Exponents

100

Write x^2/3 in radical form

3rd root of x²

200

81^3/4

27

300

Write in radical form:  (32x)^-2/5

1/4(5th root of x²)

400

(64x³y⁹)^-2/3

1/16x²y⁶

500

FREE QUESTION OF THE DAY!

AUTOMATIC 500 POINTS!