Math Unit 2

Scientific Notation

1

2.95 x 10⁴

29500

2

.0000162

1.62 X  10^-5

3

.67 X 10⁴

6700

4

821 X 10³

821000

5

58000000

5.8 X 10⁷

Exponent Rules

1

Zero Exponent

x⁰

2

x^-a

Negitive Exponent

3

x^a + x^b

product rule 

4

Quotient Rule 

x^a/x^b

5

Power Rule 

(x^a)^b

Adding Monomials

1

4x + 5x

9x

2

-3r²s + 11r²s

8r²s

3

10pqr + pqr

11pqr

4

8m³n² + -3m³n²

5m³n²

5

-12ab + 2ab 

-14ab

Subtracting Monomials

1

-4xy - 2xy 

-6xy

2

-12ab-2ab

-14ab

3

10x⁵ y² - 14x⁵y²

-4x⁵y²

4

15ab^{3 _}  (-15ab³)

0

5

7m² - 9m²

-2m²

Adding/Subtracting Scientific Notation

1

(8 x 10³) + (5 x 10²)

8.5 x 10³

2

(6x10¹⁰) - (1.2 x 10¹¹)

-6 x 10¹⁰

3

(9.4 x 10^-6) + (2.7 x 10^-7)

9.67 x 10^-6

4

(5 x 10⁶) - (3 x 10⁴)

4.97 x 10⁶

5

(2 x 10⁵) + (6.4 x 10⁸)

8.4 x 10⁵