Title: Chapter 8 Exponents and Exponential Functions
Course: quiz duplicate error

Q: Simplify the expression.

[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Simplify the expression.

[Image]
- –1
- 0
- –8.6
- 1
A: 1

Q: Simplify the expression.

[Image]
- [Image]
- –15
- 0
- 125
A: [Image]

Q: Simplify the expression.

[Image]
- [Image]
- 1
- [Image]
- [Image]
A: [Image]

Q: Simplify the expression.

[Image]
- 25
- –500
- [Image]
- –200
A: [Image]

Q: Simplify the expression.

[Image]
- 1
- 11
- –7.46^11
- 7.46
A: 7.46

Q: Simplify the expression.

[Image]
- [Image]
- 16
- [Image]
- –8
A: [Image]

Q: Which list shows the numbers in order from least to greatest?
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Write the number in scientific notation.

8,670,000,000
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Which number is NOT written in scientific notation?
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Simplify the expression. Write the answer using scientific notation.

[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Simplify the expression.

[Image]
- [Image]
- [Image]
- [Image]
- 81
A: [Image]

Q: Evaluate [Image] for x = –3 and y = 2.
- 324
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Complete the equation, by supplying the missing exponent.

m [Image] [Image]
- 4
- –3
- –8
- 8
A: 8

Q: Complete the equation, by supplying the missing exponent.

3^ [Image] [Image]
- –8
- –3
- 8
- 4
A: 8

Q: Write the number in standard notation.

[Image]
- 9,000
- [Image]
- 90,000
- 360
A: 90,000

Q: Write the number in standard notation.

[Image]
- 0.0907
- 0.907
- 0.00907
- –181.4
A: 0.0907

Q: Write the number in scientific notation.

0.0805
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Simplify the expression. Write the answer using scientific notation.

Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5,880,000,000,000 miles. Suppose a star is 13.6 light-years from Earth. In scientific notation, how many miles away is it?
- [Image] miles
- [Image] miles
- [Image]miles
- [Image] miles
A: [Image]miles

Q: Evaluate [Image] for x = 2 and y = –4.
- 16
- –4
- [Image]
- –16
A: [Image]

Q: Which number is written in scientific notation?
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Write [Image] as a decimal.
- 0.4
- 0.004
- –120
- 4,000
A: 0.004

Q: Simplify the expression.

[Image]
- [Image]
- 64
- [Image]
- [Image]
A: 64

Q: Chase scored 14 points on Monday, and he doubled his score each day thereafter. How many points did he score on Thursday?
- 224 points
- 112 points
- 56 points
- 42 points
A: 112 points

Q: Suppose the population of a town is 2,700 and is growing 4% each year.
a. Write an equation to model the population growth.
b. Predict the population after 12 years.
- [Image]; about 129,600 people
- [Image]; about 4,323 people
- [Image]; about 4,323 people
- [Image]; about 45,298,483,200 people
A: [Image]; about 4,323 people

Q: Which function is greater at the given value?
_ [Image] or [Image] at x = 9
- [Image]
- [Image]
A: [Image]

Write the answer in scientific notation.

A virus has a volume of approximately [Image] cubic centimeters. Calculate the estimated volume of [Image] viruses. Show your work.

Find the next three terms of the sequence. Then write a rule for the sequence.

648, 216, 72, 24

Q: Find the first, fourth, and eighth terms of the sequence.

[Image]
- 1; –64; –16,384
- –4; –32; –512
- –2; –16; –256
- –8; –64; –1,024
A: –2; –16; –256

A scientist counts 35 bacteria present in a culture and finds that the number of bacteria triples each hour. The function [Image] models the number of bacteria after x hours.
a. Graph the function.
b. Use the graph to estimate when there will be about 550 bacteria in the culture.

Q: Suppose an investment of $6,600 doubles in value every 8 years. How much is the investment worth after 40 years?
- $211,200
- $105,600
- $66,000
- $528,000
A: $211,200

Q: Match the function rule with the graph of the function.

[Image]
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Explain why [Image]is not in simplest form.

Q: You drop a ball from a height of 0.5 meter. Each curved path has 52% of the height of the previous path.
a. Write a rule for the sequence using centimeters. The initial height is given by the term n = 1.
b. What height will the ball be at the top of the third path?
- [Image]; 135,200 cm
- [Image]
- [Image]
- [Image]
A: [Image]

Determine whether the following statement is always, sometimes, or never true. Explain your answer.

If a >b, then [Image].

Q: A boat costs $15,500 and decreases in value by 10% per year. How much will the boat be worth after 5 years?
- $9,152.6
- $15,450
- $8,237.34
- $24,962.91
A: $9,152.6

Q: Find the common ratio of the sequence.

–164, –82, –41, –20.5, . . .
- –82
- 2
- [Image]
- 82
A: [Image]

Q: Find the next three terms of the sequence3, 9, 27, 81, . . .
- –243, –729, –2187
- 243, 729, 2187
- 81, 243, 729
- 87, 249, 87
A: 243, 729, 2187

Q: Suppose a population of 250 crickets doubles in size every 6 months. How many crickets will there be after 2 years?
- 4,000 crickets
- 6,000 crickets
- 2,000 crickets
- 1,000 crickets
A: 4,000 crickets

Solve the equation. Show your work.
[Image]

Q: Match the table with the function that models the data.

x | y
1 | 4
2 | 16
3 | 64
4 | 256
- [Image]
- [Image]
- [Image]
A: [Image]

Q: Radio signals travel at a rate of [Image] meters per second. How many seconds will it take for a radio signal to travel from a satellite to the surface of the Earth if the satellite is orbiting at a height of [Image] meters?
- 8.3 seconds
- [Image] seconds
- [Image] seconds
- [Image]seconds
A: [Image] seconds

Q: Last year a large trucking company delivered [Image] tons of goods with an average value of $30,000 per ton. What was the total value of the goods delivered? Write the answer in scientific notation.
- [Image] dollars
- [Image] dollars
- [Image] dollars
- [Image] dollars
A: [Image] dollars

Q: Find the common ratio of the sequence.

2, –10, 50, –250, . . .
- –5
- –12
- [Image]
- 12
A: –5

Q: Identify the initial amount a and the growth factor b in the exponential function.
[Image]
- 4.3, 680
- 680, 4.3
A: 680, 4.3

Order [Image], and 435 from least to greatest.

Write a rule and find the given term in the geometric sequence described below. Show your work.

What is the eighth term when the first term is -4 and the common ratio is [Image]?

Q: Find the balance in the account.

$3,800 principal earning 2%, compounded quarterly, after 7 years
- $4,369.52
- $4,365.01
- $64,926.56
- $108,528.00
A: $4,369.52

What happens to the terms of a sequence if the common ratio is 1? Explain your answer.

Q: Evaluate the function rule for the given value.

[Image] for x = –5
- –15
- [Image]
- [Image]
- –125
A: [Image]

Q: Find the balance in the account.

$2,400 principal earning 2%, compounded annually, after 7 years
- $2,756.85
- $307,200.00
- $17,136.00
- $2,736.00
A: $2,756.85

Q: Evaluate the function rule for the given value.

[Image] for x = –3
- [Image]
- [Image]
- [Image]
- –135
A: [Image]

Q: Determine whether [Image]is always, sometimes, or never true.
- always
- sometimes
- never
A: sometimes

Write [Image]with only one exponent. Use parentheses.

Q: Suppose a spherical asteroid has a diameter of approximately [Image] m.
a. Find the radius using scientific notation.
b. Use the formula [Image]to find the approximate volume of the asteroid.
- [Image] m; [Image] m^3
- [Image] m; [Image] m^3
- [Image] m; [Image] m^3
- [Image] m; [Image] m^3
A: [Image] m; [Image] m^3

Q: Determine whether the sequence is arithmetic or geometric.

–2, 10, –50, 250, . . .
- arithmetic
- geometric
A: geometric

Simplify. Show your work.

[Image]

Explain how to write [Image] as an expression with only one exponent.

Q: Suppose a laboratory has a 26 g sample of polonium-210.The half-life of polonium-210 is about 138 days.
a. How many half-lives of polonium-210 occur in 276 days?
b. How much polonium is in the sample 276 days later?
- 2; 6.5 g
- 3; 3.25 g
- 2; 13 g
- 2; 1,794 g
A: 2; 6.5 g