Exponents
Write 4x4x4x4x4x4x4 in exponential form.
4^7
Evaluate: (22)4
28
Is the following expression written in scientific notation? Explain. 3.25 + 10-7
No, it should be multiplied, not added.
Solve:
(1.2 x 10-3)(5.7x 10-5)
6.84 x 10-8
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:
(8.45 x 107) / (6.5 x 103)
1.3 x 104
Shelly's work is shown below: (54)(5-3) = 5 Is Shelly correct? Explain.
Yes, 4+-3 = 1. 5^1=5
Evaluate: (-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
Solve the expression. Your answer must be in proper scientific notation.
(3.7 x 109)(9.04 x 102)
3.3448 x 1012
Make this proper: 13.79 x 107
No, 13.79 is greater than or equal to 10.
Evaluate: (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.
Sahara, because the exponent is bigger.
Solve:
(11 x 10-4) / (2 x 10-5)
5.5 x 101
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 10^27
Evaluate: 9-2
1/81
Simplify: (5x2)3/(7y9)0
125x6
The size of the four oceans, in square km, are stated 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? Your answer needs to be in proper scientific notation.
2.796 x 1010
Jayden solved the problem 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.