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 to & from Scientific Notation

100

4,500

4.5 x 10³

200

6.2 x 10³

6,200

300

0.00057

5.7 x 10^-4

400

8.03 x 10^-4

80,300

500

5,550,000

5.55 x 10⁶

Multiplying Numbers in Scientific Notation

100

(2 x 10⁵)(2 x 10³)

4 x 10⁸

200

(5 × 10^4 ) (2 × 10^2 )

1 x 10⁶

300

(6× 10^3) (7 × 10^5)

4.2 × 10⁹

400

(1.2× 10^6) (3.5 × 10^3)

4.2 x 10⁹

500

(4.5 × 10^-2) (2 × 10^4)

9 x 10²