Exponent Rules

Exponents

100

Write in exponential form:

2 x 2 x 2 x 2

2⁴

200

Write in exponential form:

h x h x h

h³

300

Write in expanded form:

s⁵

s x s x s x s x s

400

Name the base:

c⁶

c

500

Name the exponent:

x⁵

5

Product of Powers

100

(x³)(y²x^-2) 

xy²

200

(2x³)(-3x^-2)

-6x

300

(x³y^-4)(x^-4y⁶)

y²/x

400

(2x)(8x)

16x²

500

(3x⁴y^-1z)(2xyz)

6x⁵z²

Quotient of Powers

100

2x⁵/2x

x⁴

200

18x²y⁴/3x³y

6y³/x

300

9xy⁴/9x³y

y³/x²

400

4x⁴y^-2/xy⁷

4x³/y⁹

500

10x⁴yz^-3/20xyz

x³/2z⁴

Power of Powers

100

(x³)⁵

x¹⁵

200

(x²y³)³

x⁶y⁹

300

(2x³y⁴)⁴

16x¹²y¹⁶

400

(x^-2y^-5)²

1/x⁴y¹⁰

500

(2x³y^-3z)²

4x⁶z²/y⁶

Negative Exponents

100

x^-4

1/x⁴

200

2x^-5

2/x⁵

300

2x^-4y⁵

2y⁵/x⁴

400

12x⁴/y^-3

12x⁴y³

500

5x^-5/y^-3

5y³/x⁵