Exponents

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:
(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

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:
(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

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:
(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

The mass of Mars is about 6.4 x 10^23 kg. It would take about 2,970 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:
(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

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.

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