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)
33.448 x 1018 =
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. (8.4 x 10-7) / (1.2 x 10-7)
7 x 100
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.
0.0095
Solve the expression. Write your answer in scientific notation. (3.93 x 103) / (3 x 1011)
1.31 x 10-8
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
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.
Solve the expression. Write your answer in scientific notation. (5.4 x 106) x (2 x 10-9)
10.8 x 10-3 =
1.08 x 10-2
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
Solve the expression. Write your answer in scientific notation. (1.5 x 105)(2.5 x 103)/(5 x 102)
0.75 x 106
7.5 x 105
Jack 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.