Exponents
Laws of Exponents
Scientific Notation
Operations w/ Scientific Notation
Miscellaneous
100
Write 4x4x4x4x4x4x4 in exponential form.
4^7
100
Evaluate: (2^2)^3
4^3 = 64 or 2^6 = 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
Solve the expression. Write your answer in scientific notation. (3 x 10^9) X (2 x 10^9)
6 x 10^18
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
Write 3^5 in expanded Form.
3x3x3x3x3
200
Simplify: (4y)^3
64y^3
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
Solve the expression. Write your answer in scientific notation. (8 x 10^-7) / (2 x 10^7)
4 x 10^-14
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)^5
-405
300
Simplify: (x^5)(x^9)
x^14
300
The mass of a Monarch butterfly is about 9.5 x 10^-3. Write this number in standard form.
.0095
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
Evaluate the expression, (149)^0
1
400
Simplify: (3x^4) / (6x^2)
1/2x^2
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.
Sahara
400
Humpback whales are known to weigh as much as 9 x 10^4 pounds. The tiny krill they eat weigh only 3 x 10^4 pounds. Approximately how many times greater than krill are humpback whales?
3 times as greater.
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
Jahliek solved the problem shown below: (2 x 10^4)(4 x 10^6) = 8 x 10^-2 Is he correct? Explain.
No. He was supposed to add the exponents, not subtract.
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