Exponent Rules

Zero and Negative Exponents

100

16⁰

What is 1?

200

4^-2

1/16

300

3^-3

1/27

400

8^-2/4⁰

1/64

500

5(-6)⁰

5

Exponents with Multiplication

100

b⁷ * b¹³

b²⁰

200

(8d⁴)(4d⁷)

32d ¹¹

300

2³ * 2²

2⁵ = 32

400

x^-9 * x³ * x²

1/x⁴

500

(7p⁴⁾(5p⁹)

35p¹³

More Multiplication Rules

100

(x⁵)²

x¹⁰

200

(2^-3)⁴

1/2¹²

300

(4a⁵)³

64a¹⁵

400

(m^-3*n⁴)^-4

m¹²/n¹⁶

500

(4x⁴)² * (2xy³)³

128x¹¹y⁹

Division with Exponents

100

c¹⁶/c⁹

c⁷

200

3⁷/3⁴

3³ = 27

300

a⁶b^-5/a^-2 b⁷

a⁸/b¹²

400

(a³/b²)⁴

a¹²/b⁸

500

(a²b^-4/b²)⁵

a¹⁰/b³⁰

Scientific Notation

100

Write the number in scientific notation 0.0035.

3.5 x 10^-2

200

Write in standard form. 3.14159 x 10⁶

3,141,590

300

Write in standard form. 9.81 x 10^-4

0.000981

400

Evaluate (6.4 x 10^-3)(3 x 10⁸)

1.92 x 10⁶

500

Evaluate (5.5 x 10⁷)(6.9 x 10^-9)

3.795 x 10^-1