Algebra 1 7-1 Guided Practice: Zero and Negative Exponents
By Matt Richardson
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Last updated almost 3 years ago
39 Questions
Solve It! Complete the table below. Enter only a number without commas and use fraction form if necessary.
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Question 15
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Solve It! Simplify the expression. Write your answer in fraction form.
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Question 16
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Take Note: For every nonzero number a, a^0 = __________.
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Question 17
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Take Note: Which of the following are true? Select all that apply.
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Question 18
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Take Note: Which of the following is equivalent to 4^{-3}?
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Question 19
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Problem 1 Got It?
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Question 20
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Problem 1 Got It?
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Problem 1 Got It?
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Question 22
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Problem 1 Got It?
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Question 23
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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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Question 28
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Problem 2 Got It?
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Question 29
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Problem 2 Got It?
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Question 30
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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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Question 31
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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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Question 32
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Take Note: Does Method 1 or Method 2 seem to be the most efficient? Explain.
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Question 33
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Problem 3 Got It?
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Question 34
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Problem 3 Got It?
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Problem 3 Got It?
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Question 36
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Problem 3 Got It?
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Question 37
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Problem 3 Got It?
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Question 38
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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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Question 39
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Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
