Laws of Exponents

Multiplying

100

x²∙x³

What is x⁵

200

3x ∙3x²

What is 9x³

300

(abc³)(-ab²c)

What is -a²b³c⁴

400

(12a²b⁵)(-3ab⁴)

What is -36a³b⁹

500

(-3b^2)(-b)

What is 3b^3

Dividing

100

x⁷/x^-3

What is x¹⁰

200

2x³/2x³

What is 1

300

10x³y/2xy²

What is 5x²/y

400

6abc/3a³b²

What is 2c/a²b

500

15a³b⁴c/12a³b³c³

What is 5b/4c

Exponent of Exponent

100

(a²)³

What is a⁶

200

(ab³)⁵

What is a⁵b¹⁵

300

(2a³c)³

What is 8a⁹c³

400

(2a³b⁴c)⁴

What is 16a¹²b¹⁶c⁴

500

(7ab^-2c⁴d⁰)²

What is 49a²c⁸/b⁴

Negative Exponents

100

x^-1

What is 1/x

200

2x^-2

What is 2/x²

300

3x^-2y^-1

What is 3/x²y

400

(2^-3x^-2y)

What is y/8x²

500

4x²y^-2z^-4

What is 4x²/y²z⁴

Mixed Bag

100

(3ab²c)³

What is 27a³b⁶c³

200

6x²y/3x^-4y⁰

What is 2x⁶y

300

(3x³y^-4)(5x²y²)

What is 15x⁵/y²

400

(-2x^-2yz^-5)/(4y^-5z)

What is -y⁶/2x²yz⁶

500

(3ab^-2cd³)/(9a⁷bc^-1d^-5)

What is c²d⁸/3a⁶b³