Laws of Exponents (Pre-Algebra)

Exponents

100

abb

ab²

200

mmmmmm

m⁶

300

8*8*n*n*n

8²n³

400

(-3)(-3)(-3)(-3)

(-3)⁴

500

abacabebcabac

a⁵b⁴c³d²e

Products Property

100

x^{5 *} x⁸

x¹³

200

(x³)⁵

x¹⁵

300

(x³y²)²

x⁶y⁴

400

(2k)⁴

16k⁴

500

(2x³yz⁵t³)⁵

32x¹⁵y⁵z²⁵t¹⁵

Quotient Property

100

p⁵/p³

p²

200

x³/x³

1

300

(x²x⁹)/x

x¹⁰

400

(w⁸/w⁷) * (w⁵/w²)

w⁴

500

(m⁸/m⁶) * ((m¹⁰*m²)/m⁹)

m⁵

Positive Exponents Only

100

y^-2

1/y²

200

8x^-2

8/x²

300

y^-8 * y³

1/y⁵

400

(w²x^-5)²

w⁴/x¹⁰

500

3x⁹m³/x³m⁵

3x⁶/m²

Evaluating Expressions

100

11³

1331

200

-11²

-121

300

(1/5)³

1/125

400

(-3)²

9

500

-(1/2)⁴

-1/16