Exponent Properties review

Product

100

x² ∙ x³

What is x⁵

200

x ∙ x²

What is x³

300

(ab)(ab)

What is a²b²

400

(2a^1/4)(-3a^2/4)

What is -6a^3/4

500

(-3b³)(-4b^2/3)

What is 12b^11/3

Quotient

100

x/x

What is 1

200

x⁴/x²

What is x²

300

(x³y)/(xy²)

What is x²/y

400

6b/3b^1/2

What is 2b^1/2

500

(-5a³b⁴) / (a³b³c^1/2)

What is -5b / c^1/2

Power

100

(a²)³

What is a⁶

200

(ab³)⁵

What is a⁵b¹⁵

300

(2a)³

What is 8a³

400

(2a⁶b⁴)^1/2

What is 2^1/2a³b²

500

(7ab³c⁹)^1/3

What is 7^1/3a^1/3bc³

Negative/Zero

100

x^-1

What is 1/x

200

x^-2

What is 1/x²

300

x^-2y^-1

What is 1/x²y

400

4x^-2/3

What is 4/x^2/3

500

x^-3/4y⁰

What is 1/x^3/4

Mixed Examples

100

(3a)³

What is 27a³

200

x²/x⁴

What is 1/x²

300

(3x³y)(5x²y^-3)

What is 15x⁵/y²

400

16x⁵y/4x³y

What is 4x²

500

(3ab³)²/(9ab³)

What is ab³