Negative Exponents
Negative Exponents II
Scientific Notation
Scientific Notation II
Miscellaneous
100

Evaluate:  3⁻² 

1/9

100

Rewrite as a positive exponent: (1/16)^-4

16^4

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

The distance from Earth to the Sun is approximately 93 million miles. A scientist would write that number as:

9.3 X 10^7

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

-3x⁻³

-3/x^3

200

Evaluate:  7^-1/7^-2

7

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

The size of a certain type of molecule is 0.00009078 inch. If this number is expressed as 9.078 X 10^n , what is the value of n?

-5

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

Rewrite as a positive exponent: -3x⁻¹(x⁴)

-3x³

300
The mass of a Monarch butterfly is about 9.5 x 10^-3. Write this number in standard form.
.0095
300

The video of the movie Star Wars earned $193,500,000 in rental fees during its first year. Expressed in scientific notation, the number of dollars earned is:

1.935 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

(2/3)⁻¹

3/2

400

Rewrite as a positive exponent: x⁰(x⁶)(x⁻⁴)

x²

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

The number 8.375 X 10^3 is equivalent to

0.008375  

400

Expressed in scientific notation, the number 4,600,000,000 is

4.6 X 10^9

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

Which expression is equivalent to 6.02 X 10^23?

602 X 10^21

500

If 6.54 X 10^n = 65,400, what is the value of n?

4

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