Algebra 1 7-1 Guided Practice: Zero and Negative Exponents
By Matt Richardson
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Last updated over 2 years ago
39 Questions
Solve It! Complete the table below. Enter only a number without commas and use fraction form if necessary.
1
1.
1
2.
1
3.
1
4.
1
5.
1
6.
1
7.
1
8.
1
9.
1
10.
1
11.
1
12.
1
13.
1
14.
10
15.
Solve It! Simplify the expression. Write your answer in fraction form.
10
16.
Take Note: For every nonzero number a, a^0 = __________.
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17.
Take Note: Which of the following are true? Select all that apply.
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18.
Take Note: Which of the following is equivalent to 4^{-3}?
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19.
Problem 1 Got It?
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20.
Problem 1 Got It?
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21.
Problem 1 Got It?
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22.
Problem 1 Got It?
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23.
Problem 1 Got It?
Take Note: Powers can be moved across fraction bars.
For example, in the exponential expression \frac{a^{3}x^{2}}{b^4}, the x^2 can be moved from the numerator to the denominator. (Similarly, powers in the denominator, like b^4 in this expression, can be moved from the denominator to the numerator.)
⚠️ IMPORTANT:In that process, the exponent becomes the opposite of what it was.
Take Note: Summarize the process used in Method 1 to evaluate the expression in Example 3 for the given values of the variables.
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28.
Problem 2 Got It?
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29.
Problem 2 Got It?
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30.
Take Note: Summarize the process used in Method 1 to evaluate the expression in Example 3 for the given values of the variables.
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31.
Take Note: Summarize the process used in Method 2 to evaluate the expression in Example 3 for the given values of the variables.
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32.
Take Note: Does Method 1 or Method 2 seem to be the most efficient? Explain.
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33.
Problem 3 Got It?
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34.
Problem 3 Got It?
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35.
Problem 3 Got It?
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36.
Problem 3 Got It?
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37.
Problem 3 Got It?
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38.
Problem 4 Got It? A population of insects triples every week. The number of insects is modeled by the expression below, where w is the number of weeks after the population is measured.
Evaluate the expression for w = -2, w = 0, and w = 1.
Match the weeks below with their related populations. Not all populations will be used.
w = -2
w = 0
w = 1
400 insects
600 insects
5400 insects
6800 insects
16,200 insects
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39.
Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
