Jeopardy Review: Exponents

Exponential Notation

100

Write 4x4x4x4x4x4x4 in exponential form.

4⁷

200

Write 3⁵ in expanded Form.

3x3x3x3x3

300

Evaluate the expression, (-9)(-9)(-9)(-9)

-9⁴

400

3x3x3xaxaxa

3³ a³

500

2x2x2xaxa

2³ a²

Power of a Product

100

4³ x 4³

4⁶

200

Simplify: (4x⁵) (9x⁷)

36x¹²

300

Simplify: (5x⁶) (9x²)

45x⁸

400

(xy⁶z) (x⁶y³)

x⁷y⁹z

500

(x¹y²z²) (xy³z⁴)

x²y⁵z⁶

Divide/Exponential Form

100

Is the following expression written in scientific notation? If not, explain why. 3.25 + 10^-7

No, it should be multiplied, not added.

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

300

The mass of a Monarch butterfly is about 9.5 x 10^-3. Write this number in standard form.

.0095

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.

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

Raise Power to Power

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

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

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

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

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

Zero Power

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

Shelly's work is shown below: (5^4)(5^-3) = 5 Is Shelly correct? Explain.

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

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

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

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.