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)
12.74 x 109 = 1.274 x 1010
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: (42)3
46
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, 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
(3 x 107) (9 x 106)
2.7 x 1014
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: (366)/(362)
364
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.
(4 x 109)/(5 x 107)
8 x 10
What is the square root AND cube root of 64?
8 and 4
Evaluate the expression, 9-2
1/81
Simplify: (23)(24)(2-6)
2
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
(3 x 104) / (8 x 10)
3.75 x 102
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.