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)^3

-27

400

Evaluate the expression, (149)^0

1

500

Evaluate the expression, 9^-2

1/81

Laws of Exponents

100

Evaluate: (2^2)^3

4^3 = 64 or 2^6 = 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

Negative and 0 Exponents

100

Simplify using positive exponents  x^-5

1/x^5

200

Evaluate:  4x^-3 / y^0

1/4x^3

300

simplify using positive exponents: z^-5 / z^-3

1/z^2

400

If a=3 and b=-2 solve: a^-3 / b^4

1/432

500

Express with positive exponents:  5y^-5 / 2x^-3

5x^3 / 2y^5