Jeopardy Review: Exponents-Scientific Notation

Exponents

100

Write 4x4x4x4x4x4x4 in exponential form.

4⁷

200

Write 3⁵ in expanded Form.

3x3x3x3x3

300

Evaluate the expression, (-3)³

-27

400

Evaluate the expression, (149)⁰

1

500

Evaluate the expression, 9²

81

Exponents multiplication

100

Evaluate: 5⁵ x 5⁴ =

5⁵ x 5⁴ = = 5⁵⁺⁴

200

Simplify: y⁴ x  y² =

y⁴ x  y² = = y⁴⁺²

300

Simplify: 3² x 6² x 3³ x 6 =

3² x 6² x 3³ x 6 = 3⁵ x 6³

400

Simplify:4 x 2³ =

4 x 2³ =2⁵

500

Simplify: 3y⁴ x 2y² =

3y⁴ x 2y² =6y⁴⁺²

exponent division

100

3⁴/3² =

3⁴/3² = = 3^4-2

200

(xy)¹⁰/(xy)⁸ =

(xy)¹⁰/(xy)⁸ =(xy)^{10 - 2}

300

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

.0095

400

2y⁵ / 3y =

2y⁵ / 3y = 2y^5-1/3

500

3³/ 9 =

3³/ 9 = 3³/ 3² = 3^3-2

Operations w/ Scientific Notation

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

Miscellaneous

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.