Exponents
Laws of Exponents
Scientific Notation
Operations w/ Scientific Notation
Miscellaneous
100
Write 4x4x4x4x4x4x4 in exponential form.
47
100
Evaluate: (22)3
43 = 64 or 26 = 64
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
Find the product of 3.7 x 109 and 2x 109. Write your answer in scientific notation.
7.4 x 1018
100
Is -28 the same answer as (-2)8? Explain.
No, without parentheses () the answer will be negative, with them the answer will be positive.
200
Write 35 in expanded Form.
3x3x3x3x3
200
Simplify: (4y)3
64y3
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 1027
200
Find the quotient of (8.45 x 10-7) and (2 x 10-3) Write your answer in scientific notation.
4.25 x 10-4
200
Shelly's work is shown below: (54)(5-3) = 5 Is Shelly correct? Explain.
Yes, 4+-3 = 1. 51=5
300
Evaluate the expression, (-3)3
-27
300
Simplify: (2x5)(-3x9)
-6x14
300
The mass of a Monarch butterfly is about 9.5 x 10-3. Write this number in standard form.
.0095
300
What is 5.1 x 108 / 361,000,000? Express your answer in standard form.
1.4122742382271...
300
Is the following number written in scientific notation? Why or why not? 13.79 x 107
No, 13.79 is less than or equal to 10.
400
Evaluate the expression, (149)0
1
400
Simplify: (36x4y3)/(6xy2)
6x3y
400
The size of the Sahara desert is about 3.629 x 106 square miles and the Arabian desert is about 9 x 105 square miles. Which desert is larger? Explain how you know.
Sahara, because the exponent is bigger.
400
The length of my back yard is 950 feet and the width is 1 x 102. What is the area of my yard, in scientific notation?
9.5 x 104
400
Simplify:
500
Evaluate the expression,(9)-2
1/81
500
Simplify: (5x2)3/(7y9)0
125x6
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 108, Arctic Ocean : 1.323 x 107, Atlantic Ocean : 1.061 x 108, Indian Ocean : 7.49 x 107
Arctic, Indian, Atlantic, Pacific
500
Express the following in standard form:
600,000
500
Simplify:
