Jeopardy Review: Exponents-Scientific Notation

Exponents

100

Write 4x4x4x4x4x4x4 in exponential form.

4^7

200

Write

3^5

 in expanded Form.

3x3x3x3x3

300

Evaluate the expression, 

(-3)^4

81

400

Evaluate the expression, 

(149)^0

1

500

Evaluate the expression, 9^-2

1/81

Laws of Exponents

100

Evaluate: (2^2)^3

 64

200

Simplify: 

(4y)^3

64y^3

300

Simplify: 

(x^5)(x^9)

x^14

400

Simplify:

(36x^4y^3)/(6xy^2)

6x^3y

500

Simplify:

(5x^2)^3/(7y^9)^0

125x^6

Scientific Notation

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

Operations w/ Scientific Notation

100

Simplify. Evaluate where necessary

 (3x³y^-2)⁴

81x^12/y^8

200

Find the volume of a cube with side length of 4/5 m

64/125 m^3

 

300

Simplify:

(7.3 x 10⁷) x (1.12 x 10^-2)

8.176 x 10⁵

400

Solve the following multiplication problem. Leave in scientific notation form

(3.2 x 10^{-6 )(}1.685 x 10¹²⁾

5.392 x 10^6

500

3.8 x 10^4/1.9x 10^-2

2 x 10^6

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, 

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.