Exponent stuff
Laws of Exponents
Scientific Notation
Operations w/ Scientific Notation
Exponential Functions
100
Write 4x4x4x4x4x4x4 in exponential form.
4^7
100
Evaluate: (2^2)^3
4^3 = 64 or 2^6 = 64
100
Is the following expression written in scientific notation? If not, explain why. 3.25 + 10^-7
No, it should be multiplied, not added.
100
Solve the expression. Write your answer in scientific notation. (3.7 x 10^9) + (9.04 x 10^9)
12.74 x 10^9 = 1.274 x 10^10
100

A computer valued at $6500 depreciates at the rate of 14.3% per year.

How much is it worth after 3 years? 

4,091. 25

200
Write 3^5 in expanded Form.
3x3x3x3x3
200
Simplify: (4y)^3
64y^3
200
The mass of Jupiter is approximately 1,900,000,000,000,000,000,000,000,000 kg. Write the mass of Jupiter in scientific notation.
1.9 x 10^27
200
Solve the expression. Write your answer in scientific notation. (8.45 x 10^-7) - (6.9 x 10^-7)
1.55 x 10^-7
200

A population of 800 beetles is growing each month at a rate of 5%.

How many beetles will there be after 8 months

1181.964

So 1181 Beetles

300
Evaluate the expression, (-3)^3
-27
300
Simplify: (x^5)(x^9)
x^14
300
The mass of a Monarch butterfly is about 9.5 x 10^-3. Write this number in standard form.
.0095
300
The surface of the Earth is water and land. The approximate total surface area of Earth is 5.1 x 10^8 km2 and the approximate total surface area of water is 361,000,000 km2. About how much of Earth's surface area is land?
1.49 x 10^8
300

Since January 1980, the population of the city of Brownville has grown according to the mathematical model  y = 720,500(1.022)^x , where x is the number of years since January 1980.

What year will they reach 1 million people?

In between year 15 and 16

So year 16

400
Evaluate the expression, (149)^0
1
400
Simplify: (36x^4y^3)/(6xy^2)
6x^3y
400
The size of the Sahara desert is about 3.629 x 10^6 square miles and the Arabian desert is about 9 x 10^5 square miles. Which desert is larger? Explain how you know.
Sahara, because the exponent is bigger.
400
Humpback whales are known to weigh as much as 8 x 10^4 pounds. The tiny krill they eat weigh only 2.1875 x 10^-3 pounds. Approximately how many times greater than krill are humpback whales?
4 x 10^7
400

In 2008, you put 2000 dollars in the bank. It is invested at 8 % semi-annually for 18 years. How much money do you have when you withdraw it?

$8,207.90

500
Evaluate the expression, 9^-2
1/81
500
Simplify: (5x^2)^3/(7y^9)^0
125x^6
500
The size of the four oceans, in square km, is shown below. List the oceans from smallest to largest. Pacific Ocean - 1.7965 x 10^8, Arctic Ocean - 1.323 x 10^7, Atlantic Ocean - 1.061 x 10^8, Indian Ocean - 7.49 x 10^7
Arctic, Indian, Atlantic, Pacific
500
A computer can perform 4.66 x 10^8 instructions per second. How many instructions is that per minute? Per hour? Write your answers in scientific notation.
Per Second = 2.796 x 10^10 Per Hour = 1.6776 x 10^12
500

Iodine‐131 is used to find leaks in water pipes. It has a half‐life of 8 days. Write the exponential decay function for a 200‐mg sample. Find the amount of Iodine‐131 remaining after 72 days

Y = 200 (.5) ^x/8


.3906 mg

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