Exponents
Write 4x4x4x4x4x4x4 in exponential form.
47
Evaluate: (22)3
43 = 64 or 26 = 64
Is the following expression written in scientific notation? If not, explain why.
3.25 + 107
No, it should be multiplied, (3.25 x 107) not added.
Solve the expression. Write your answer in scientific notation. (3.7 x 109)(9.04 x 109)
3.3448 x 1019
Is -28 the same answer as (-2)8? Explain.
No, without parentheses () the answer will be negative, with them the answer will be positive.
Write 35 in expanded Form.
3x3x3x3x3
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)
5.8305 x 10-13
Shelly's work is shown below: (54)(5-3) = 5 Is Shelly correct? Explain.
Yes, 4+-3 = 1. 51=5
Evaluate the expression, (-3)3
-27
Simplify: (x5)(x9)
x^14
The mass of a Monarch butterfly is about 9.5 x 10-3. Write this number in standard form.
0.0095
The surface of the Earth is water and land. The approximate total surface area of water is 361,000,000 km2 and the approximate total surface area of land is 1.49 x 108 km2. About how many times larger is Earth's water than land?
2.4 times larger.
Is the following number written in scientific notation? Why or why not? 13.79 x 107
No, 13.79 is greater than or equal to 10.
Evaluate the expression, (149)0
1
Simplify: (36x4y3)/(6xy2)
6x3y
Humpback whales are known to weigh as much as 8 x 104 pounds. The tiny krill they eat weigh only 2 x 10-3 pounds. Approximately how many times greater than krill are humpback whales?
4 x 107
The mass of Mars is about 6.4 x 1023 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 1027 kg
Evaluate the expression, 9-2
1/81
Simplify: (5x2)3/(7y9)0
125x6
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 108 instructions per second. How many instructions is that per minute? Per hour? Write your answers in scientific notation.
Per Second = 2.796 x 1010
Per Hour = 1.6776 x 1012
Jared solved the problem shown below:
(2 x 104)(1.8 x 106) = 3.6 x 10-2 Is he correct? Explain.
No. He was supposed to add the exponents, not subtract.