Exponents
Laws of Exponents
Scientific Notation
Operations w/ Scientific Notation
Miscellaneous
100

Write 4x4x4x4x4x4x4 in exponential form.

47

100

Evaluate: (22)3

43 = 64 or 26 = 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 -28 the same answer as (-2)8? Explain.

No, without parentheses () the answer will be negative, with them the answer will be positive.

200

Write 35 in expanded form.

3x3x3x3x3

200

Simplify: (4y)3

64y3 or 43y3

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 1027

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: (54)(5-3) = 5 Is Shelly correct? Explain.

Yes, 4+-3 = 1. 51=5

300

Evaluate the expression, (-3)3

-27

300

Simplify: (x5)(x9)

x14

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

Is the following number written in scientific notation? Why or why not? 13.79 x 107

No, 13.79 is greater than or equal to 10.

400

Evaluate the expression, (149)0

1

400

Simplify: (36x4y3)/(6xy2)

6x3y

400

The size of the Sahara desert is about 3.629 x 106 square miles and the Arabian desert is about 9 x 105 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 1023 kg. Planet Z was found with a mass of 2.5 x 1031. Which planet is bigger, Mars or Planet Z? Explain.

Planet Z because the power of 10 is greater meaning it is bigger.

500

Evaluate the expression, 9-2

1/81

500

Simplify: (5x2)3/(7y9)0

125x6

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 108, Arctic Ocean -1.323 x 107, Atlantic Ocean - 1.061 x 108, Indian Ocean - 7.49 x 107

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

Jahliek solved the problem shown below:(1.8 x 106) = 18000000 . Is he correct? Explain.

No. He was supposed to move the decimal 6 spaces to the right to change the place value.

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