Exponents
Write 4 x 4 x 4 x 4 x 4 x 4 x 4 in exponential form.
47
Evaluate: (2^2)^3
4^3 = 64 or 2^6 = 64
Is the following expression written in scientific notation? If not, explain why. 3.25 + 10-7
No, it should be multiplied, not added.
Solve the expression. Write your answer in scientific notation. (3.7 x 109) + (9.04 x 109)
1.274 x 1010
Write 3-3 with a positive exponent.
1/33 or 1/27
Simplify: (4y)3
64y3
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
Solve the expression. Write your answer in scientific notation. (8.45 x 10-7) - (6.9 x 10-7)
1.55 x 10-7
Determine the appropriate sign to compare the expressions below.
2.39 x 108 3.99 x 108
A) <
B) =
C) <
C) <
Evaluate the expression, 2-7 x 25 x 20
2-2
Simplify: (35)(3-7). Express your answer with a positive exponent.
1/32
The mass of a Monarch butterfly is about 9.5 x 10-3. Write this number in standard form.
.0095
The surface of the Earth is water and land. The approximate total surface area of land is 1.49 x 108 km2 and the approximate total surface area of water is 361,000,000 km2. What is the approximate surface area of the earth? Express in scientific notation.
5.1 x 108
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.
Evaluate the expression, -2x0 - 20 + (3x)0
-2
Simplify:(1/2)(1/2)6(1/2)2.
Write your answer in exponential notation.
(1/2)9
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.
Humpback whales are known to weigh as much as 8 x 104 pounds. The tiny krill they eat weigh only 2.1875 x 10-3 pounds. Approximately how many times greater than krill are humpback whales?
4 x 10^7
The mass of Mars is about 6.4 x 10^23 kg. It would take about 2,970 of the planet Mars to equal the mass of Jupiter. What is the mass of Jupiter?
1.9008 x 10^27
Evaluate the expression, (-2x)0 + 2-2 - 20
1/4 or 0.25
Simplify: m(m5)(m-2)
m4
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
A computer can perform 4.66 x 10^8 instructions per second. How many instructions can a computer perform in one minute?
2.796 x 1010
The weight of a Hippo is about 8.799 x 103The weight of a Cow is about 9.21 x 102. Which animal weights more? How much more? Express in scientific notation.
The Hippo by 7.878 x 103 pounds more