Exponents and Scientific Notation

Multiplying Exponential

100

(x²)(x³)

x⁵

200

(x)(x³)

x⁴

300

(3x²)(x⁴)

3x⁶

400

(a⁷)(a²)(a⁵)

a¹⁴

500

(2a³b²)(3a²b⁵)

6a⁵b⁷

Dividing Exponential

100

x^5/x^2

x³

200

x^9/x^4

x⁵

300

x^7/x^7

1

400

(x^12y^5)/(x^7y^2)

x⁵y³

500

(x^8y^6)/(x^3y^2)

x⁵y⁴

Expanding Exponentials

100

(x^2)^3

x⁶

200

(x^5)^3

x¹⁵

300

(3x^2)^3

9x⁶

400

(x^4y^2)^3

x¹²y⁶

500

(2x^3y^2)^3

16x¹²y⁸

Converting from Standard Form to Scientific Notation

100

4,500

4.5 x 10³

200

6,200

6.2 x 10³

300

0.00057

5.7 x 10^-4

400

80,300

8.03 x 10^-4

500

5,550,000

5.55 x 10⁶

Converting from Scientific Notation to Standard Form

100

2.3 x 10³

2,300

200

7.05 x 10²

705

300

4.8 x 10^-3

0.0048

400

9.13 x 10⁵

913,000

500

6.25 x 10^-6

0.000006