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Exponent-O-Rama
Laws of Exponents
Scientific Notation
Operations w/ Scientific Notation
Exponent Challenge
100
2.0 x 10^3 in standard notation is
2000
100
Evaluate: (2^2)^3
4^3 = 64 or 2^6 = 64
100
The length of the Rio Grande River is 3,034 kilometers. Write this amount in scientific notation.
3.034 x 10^3
100
Solve the expression. Write your answer in scientific notation. (3.7 x 10^9) + (9.04 x 10^9)
12.74 x 10^9 = 1.274 x 10^10
100
(3a^2)(5a^4)
15a^6
200
True or False? 7.4 x 10^5 > 0.74 x 10^6
False! 740,000 equals 740,000
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. (8.45 x 10^-7) - (6.9 x 10^-7)
1.55 x 10^-7
200
(4n^5) / (2n^2)
2n^3
300
Scientific Notation or Not? Justify your answer. 0.32 x 10^2
Not! Must be one non-zero digit to the left of the decimal.
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
The surface of the Earth is water and land. The approximate total surface area of Earth is 5.1 x 10^8 km2 and the approximate total surface area of water is 361,000,000 km2. About how much of Earth's surface area is only land?
1.49 x 10^8
300
(3x^7) / (18x^0)
x^7/6
400
Scientific Notation or Not? Justify your answer. 34.586 x 10^-3
Not! Must have only one non-zero digit on the left side of the decimal.
400
Simplify: (36x^4y^3)/(6xy^2)
6x^3y
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
Humpback whales are known to weigh as much as 8 x 10^4 pounds. The tiny krill they eat weigh only 2.1875 x 10^-3 pounds. Approximately how many times greater than krill are humpback whales? (Round the coefficient to the nearest whole).
4 x 10^7
400
(-9xyz^4)(6x^9yz^-2)
-54x^10y^2z^2
500
Which of the following is equivalent to 36,000 x 10,000? A 3.6 × 10^5 B 3.6 × 10^6 C 3.6 × 10^7 D 3.6 × 10^8
D
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
A computer can perform 4.66 x 10^8 instructions per second. How many instructions is that per minute? Per hour? Write your answers in scientific notation.
Per Minute = 2.796 x 10^10 Per Hour = 1.6776 x 10^12
500
(-12a^0b^-3c^11)(4a^3bc^2)(-2a^17b^6^-1)
96a^20b^4c^12