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Exponents
Laws of Exponents
Scientific Notation
Operations w/ Scientific Notation
Miscellaneous
100
Write 4x4x4x4x4x4x4 in exponential form.
4^7
100
Evaluate: (2^2)^3
2^6 = 64
100
Put in standard form. 3.25 x 10^-7
0.000000325
100
Solve the expression. Write your answer in scientific notation. (3.7 x 10^9) (9.04 x 10^9)
33.448 x 10^18 = 3.3448 x 10^19
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. Also, with the first expression, the base is just 2. In the second expression, the base is -2.
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) (3 x 10^-7)
2.4 x 10^-13
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
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.
0.0095
300
Evaluate. Put answer in scientific notation. (4.2 x 10^3) / (1.2 x 10^ 10)
3.5 x 10^-7
300
Is the following number written in scientific notation? Why or why not? 13.79 x 10^7
No, 13.79 is greater than 10.
400
Evaluate the expression, (149)^0
1
400
Simplify: (36x^7y^2)/(6xy)
6x^6y
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?
the Sahara desert
400
Humpback whales are known to weigh as much as 8 x 10^4 pounds. The tiny krill they eat weigh only 2 x 10^-3 pounds. Approximately how many times greater than krill are humpback whales? (Hint: Do not multiply!)
4 x 10^7
400
Label this number using the words: mantissa, characteristic, and base. 4.5 x 10^-4
Mantissa: 4.5 Characteristic: -4 Base: 10
500
Evaluate the expression, 9^-2
1/81
500
Simplify: (5x^2)^3/(7y^9)^0
5^3x^6 or 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
A computer can perform 4.66 x 10^8 instructions per second. How many instructions is that per minute (60 seconds)? Write your answers in scientific notation. (Hint: What is a minute(seconds) in scientific notation form?
Per Second = 2.796 x 10^10
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.