Exponents
Write 4x4x4x4x4x4x4 in exponential form.
47
Evaluate: (22)3
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) + (6.04 x 109)
9.74 x 109
Is -24 the same answer as (-2)4? Explain.
No, without parentheses the answer will be negative, with parentheses() the answer will be positive.
Write 35 in expanded Form.
3x3x3x3x3
Simplify: (4y)3
best: 64y3 okay: 43y3
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
Shelly's work is shown below: (54)(5-3) = 5
Is Shelly correct? Explain.
Yes, Add exponents (same base)
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
Which of the following numbers are written in scientific notation?
a. 13.79 x 107 b. 6.78 x 510
c. 2.74 x 10-23 d. .72 x 10 -3
c. 2.74 x 10-23
Evaluate the expression, (14ab2)0
1
Simplify: (36x4y3) divided by (6xy2)
6x3y
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
Write the following using positive exponents.
(4a-2b3)-2
a4/42b6 or a4/16b6
Evaluate the expression, 9-2
best 1/81 or 1/92
Simplify: (5x2)3 x (7y9)0
best: 125x6 Okay: 53x6
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? Write your answers in scientific notation.
Per Second = 2.796 x 1010 instructions
Jahliek solved the problem shown below:
(2 x 106)(1.8 x 104) = 3.6 x 10-2
Is he correct? Explain.
No. He was supposed to add the exponents, not subtract.