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 + 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)
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. (10 x 10-7) / (5 x 10-2)
2 x 10-9
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)
x14
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 Earth is 5.1 x 108 km2 and the approximate total surface area of water is 361,000,000 km2. About how much of Earth's surface area is land?
1.49 x 108
What do you notice about subtraction with exponents?
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, 1490
1
Simplify: 36x10 y4 / 6x5y2
6x5y2
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 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
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
Jahliek 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.