Deck 4: The Laws of Exponents and Logarithms: Measuring the Universe

Question 1

Convert to scientific notation.
-7,050,000

Answer 1

-7. 05 · 10⁶

Question 2

Convert to decimal notation.
-1.63 · 10⁶

Answer 2

-1,630,000

Question 3

Convert to scientific notation.
0.00000573

Answer 3

5. 73 · 10^-6

Question 4

Convert to decimal notation.
1.71 · 10^-5

Question 5

Express as a power of 10.

Question 6

Express as a power of 10.

Question 7

Express in meters, using powers of 10.
7.3 dekameters

Question 8

Express in meters, using powers of 10.
8.1 micrometers

Question 9

Express using a metrix prefix.
7.1 · 10¹² meters

Question 10

Express in meters, using powers of 10.
3.7 · 10^-9 meters

Question 11

Evaluate:

Question 12

Evaluate:

Question 13

Question 14

Question 15

What values of x would make this true?

Question 16

What values of x would make this true?

Question 17

What values of x would make this true?

Question 18

The land area of the Earth is approximately 1.484 ·10⁸ km² . In 1980, the population of the Earth was approximately 4,483,000,000. What was the population density (in people/km²) of the Earth in 1980?
Round your answer to 2 decimal places.

Question 19

Simplify the expression. Express your answer using only positive exponents.

Question 20

Simplify the expression. Express your answer using only positive exponents.

Question 21

Simplify the expression. Express your answer using only positive exponents and evaluate whenever possible.

Question 22

Simplify the expression. Express your answer using only positive exponents.

Question 23

Simplify the expression. Express your answer using only positive exponents.

Question 24

Simplify the expression. Express your answer using only positive exponents.

Question 25

Use scientific notation to perform each computation. Write your answers in scientific notation.
(5,900,000) (55,000,000)

Question 26

Use scientific notation to perform each computation. Write your answers in scientific notation.

Question 27

Use scientific notation to perform each computation. Write your answers in scientific notation.

Question 28

Use scientific notation to perform each computation. Write your answers in scientific notation.

Question 29

Simplify the expression. Express your answer using only positive exponents.

Question 30

Simplify the expression. Express your answer using only positive exponents.

Question 31

Simplify the expression. Express your answer using only positive exponents.

Question 32

Simplify the expression. Express your answer using only positive exponents.

Question 33

Simplify the expression. Express your answer using only positive exponents.

Question 34

Simplify the expression. Express your answer using only positive exponents.

Question 35

The atomic mass of an atom can be found by dividing the molar mass of the atom by Avogadro's number . The molar mass of hydrogen is 1.00797 g/mol. Find the mass of an atom of hydrogen. Express the answer in scientific notation.

Question 36

Simplify the expression. Express your answer using only positive exponents.

Question 37

Simplify the expression. Express your answer using only positive exponents.

Question 38

Simplify the expression. Express your answer using only positive exponents.

Question 39

Simplify the expression. Express your answer using only positive exponents.

Question 40

Simplify the expression. Express your answer using only positive exponents.

Question 41

Simplify the expression. Express your answer using only positive exponents.

Question 42

Simplify the expression. Express your answer using only positive exponents.

Question 43

Simplify the expression. Express your answer using only positive exponents.

Question 44

Simplify the expression. Express your answer using only positive exponents.

Question 45

Simplify the expression. Express your answer using only positive exponents.

Question 46

Simplify the expression. Express your answer using only positive exponents.

Question 47

Simplify the expression. Express your answer using only positive exponents.

Question 48

Simplify the expression. Express your answer using only positive exponents and evaluate whenever possible.

Question 49

Simplify the expression. Express your answer using only positive exponents and evaluate whenever possible.

Question 50

Simplify the expression. Express your answer using only positive exponents and evaluate whenever possible.

Question 51

Simplify the expression. Express your answer using only positive exponents and evaluate whenever possible.

Question 52

Simplify the expression. Express your answer using only positive exponents and evaluate whenever possible.

Question 53

Simplify the expression. Express your answer using only positive exponents and evaluate whenever possible.

Question 54

Simplify the expression. Express your answer using only positive exponents and evaluate whenever possible.

Question 55

Simplify the expression. Express your answer using only positive exponents.

Question 56

Simplify the expression. Express your answer using only positive exponents.

Question 57

Simplify the expression. Express your answer using only positive exponents.

Question 58

Simplify the expression. Express your answer using only positive exponents and evaluate whenever possible.

Question 59

Simplify the expression. Express your answer using only positive exponents and evaluate whenever possible.

Question 60

Simplify the expression. Express your answer using only positive exponents and evaluate whenever possible.

Question 61

Simplify the expression. Express your answer using only positive exponents and evaluate whenever possible.

Question 62

Simplify the expression. Express your answer using only positive exponents and evaluate whenever possible.

Question 63

Simplify the expression. Express your answer using only positive exponents and evaluate whenever possible.

Question 64

Simplify the expression. Express your answer using only positive exponents and evaluate whenever possible.

Question 65

Simplify the expression. Express your answer using only positive exponents.

Question 66

Simplify the expression. Express your answer using only positive exponents.

Question 67

Simplify the expression. Express your answer using only positive exponents.

Question 68

Simplify the expression. Express your answer using only positive exponents.

Question 69

Simplify the expression. Express your answer using only positive exponents.

Question 70

Simplify the expression. Express your answer using only positive exponents.

Question 71

Simplify the expression. Express your answer using only positive exponents.

Question 72

Simplify the expression. Express your answer using only positive exponents.

Question 73

Simplify the expression. Express your answer using only positive exponents.

Question 74

Simplify the expression. Express your answer using only positive exponents.

Question 75

Simplify the expression. Express your answer using only positive exponents.

Question 76

Simplify the expression. Express your answer using only positive exponents.

Question 77

Simplify the expression. Express your answer using only positive exponents.

Question 78

Simplify the expression. Express your answer using only positive exponents.

Question 79

Simplify the expression. Express your answer using only positive exponents.

Question 80

Simplify the expression. Express your answer using only positive exponents.