Ch 4: Exponent Rules and Scientific Notation

Zero and Negative Exponents

100

18x⁰

18

200

-3x^-5

-3/x⁵

300

Simplify:    3^-3xy^-3

x/(27y³)

400

(4x⁰y⁵z^-2)/(2^-1w^-3)

(8w³y⁵)/z²

Multiplying Powers

100

(x^-2)(x⁹)

x⁷

200

(-3x)(2x⁴)

-6x⁵

300

(-6x²y^-2)(3x^-3y^-5)

-18/(xy⁷)

400

(2^-8a^-3b^-1)(2¹⁰a³b)

4

Dividing Powers

100

(x⁹)/(x²)

x⁷

200

(10x²)/(5x^-2)

2x⁴

300

(12a^-2b⁵)/(3a^-1b⁵)

4/a

400

(3x^-4)/(6x¹⁰)

1/(2x¹⁴)

Power to a Power

100

(n³)³

n⁹

200

(5x⁴)²

25x⁸

300

(a²/b⁵)^-3

b¹⁵/a⁶

400

(-2xy^-3)^-2

y⁶/(4x²)

Scientific Notation

100

Write in scientific notation: 3,500

3.5x10³

200

Write in scientific notation:   0.00098

9.8x10^-4

300

Write your answer in scientific notation:

(3x10^-5)(2x10^-4)

6x10^-9

400

Divide. Write your answer in scientific notation:

(2.1x10⁵)/(3x10^-3)

7x10⁷