Exponents and Scientific Notation

Product Rule

100

(n³)(n²)=

n⁵

200

(n⁵)(n⁴)=

n⁹

300

(3n²)(6n³)=

18n⁵

400

(3n⁴)(2n)=

6n⁵

500

(-5x⁴y)(2x²y³)=

-10x⁶y⁴

Quotient Rule

100

n^8/n^5

n³

200

n^9/n^3

n⁶

300

(12n^7)/(4n^3)

3n⁴

400

(25n^6)/(5n^3)

5n³

500

(15x^8yz^3)/(3x^7z)

5xyz²

Power Rule

100

(n^4)^3

n¹²

200

(n⁵)²

n¹⁰

300

(2n³)²

4n⁶

400

(2n⁸)³

8n²⁴

500

(5x²yz⁴)³

125x⁶y³z¹²

Negative Exponents

100

n^-3

1/n^3

200

3^-2

1/9

300

4^-2

1/16

400

2^-4

1/16

500

9^-2

1/81

Scientific Notation

100

Write 24,000 in scientific notation.

2.4*10^4

200

Write this number in standard notation. 

3.1*10^2

310

300

Write 0.005 in scientific notation.

5*10^-3

400

Write this number in standard form.

9.6*10^-4

0.00096

500

Scientific Notation is used to represent....

really big and really small numbers!