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Exponents
Laws of Exponents
Scientific Notation
Operations w/ Scientific Notation
Miscellaneous
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
Is -2^8 the same answer as (-2)^8? Explain.
No, without parentheses () the answer will be negative, with them the answer will be positive.
200
Write 3^5 in expanded Form.
3x3x3x3x3
200

Simplify: 987,654,321^0

1

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
Shelly's work is shown below: (5^4)(5^-3) = 5 Is Shelly correct? Explain.
Yes, 4+-3 = 1. 5^1=5
300
Evaluate the expression, (-3)^3
-27
300

Simplify: (2^5)(2^9)

2^14

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 land is 1.51 x 10^8 km2 and the approximate total surface area of water is 3.61 x 10^8 km2.  How much is Earth's surface area in total?

5.12 x 10^8

300
Is the following number written in scientific notation? Why or why not? 13.79 x 10^7
No, 13.79 is greater than or equal to 10.
400
Evaluate the expression, (149)^0
1
400

Simplify: (6^8)/(6^2)

6^6

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

The mass of Mars is about 6.4 x 10^23 kg. It would take 2,970 times the mass of the planet Mars to equal the mass of Jupiter. What is the mass of Jupiter?

1.9008 x 10^27

500
Evaluate the expression, 9^-2
1/81
500

Simplify: (5^9)/(7^0)

5^9

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

What is (4.66 x 10^8) x 3600? 

Write your answers in scientific notation.

1.6776 x 10^12

500
Jahliek solved the problem shown below: (2 x 10^4)(1.8 x 10^6) = 3.6 x 10^-2 Is he correct? Explain.
No. He was supposed to add the exponents, not subtract.