Algebra 1 7-1 Guided Practice: Zero and Negative Exponents

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Solve It! Simplify the expression. Write your answer in fraction form.

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Take Note: For every nonzero number a, a^0 = __________.

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Problem 1 Got It?

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Problem 1 Got It?

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Problem 1 Got It?

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Problem 1 Got It?

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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.

Examples:
\frac{a^{3}x^{2}}{b^4}=\frac{a^{3}}{b^{4}x^{-2}}=\frac{a^{3}b^{-4}}{x^{-2}}

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Problem 2 Got It?

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Problem 2 Got It?

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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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Problem 2 Got It?

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Problem 2 Got It?

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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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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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Take Note: Does Method 1 or Method 2 seem to be the most efficient? Explain.

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Problem 3 Got It?

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Problem 3 Got It?

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Problem 3 Got It?

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Problem 3 Got It?

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Problem 3 Got It?

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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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Algebra 1 7-1 Guided Practice: Zero and Negative Exponents

Solve It! Simplify the expression. Write your answer in fraction form.

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Take Note: Summarize the process used in Method 1 to evaluate the expression in Example 3 for the given values of the variables.

Problem 2 Got It?

Problem 2 Got It?

Take Note: Summarize the process used in Method 1 to evaluate the expression in Example 3 for the given values of the variables.

Take Note: Summarize the process used in Method 2 to evaluate the expression in Example 3 for the given values of the variables.

Take Note: Does Method 1 or Method 2 seem to be the most efficient? Explain.

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Solve It! Simplify the expression. Write your answer in fraction form.

Take Note: Which of the following are true? Select all that apply.

Take Note: Which of the following is equivalent to 4^{-3}?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Take Note: Summarize the process used in Method 1 to evaluate the expression in Example 3 for the given values of the variables.

Problem 2 Got It?

Problem 2 Got It?

Take Note: Summarize the process used in Method 1 to evaluate the expression in Example 3 for the given values of the variables.

Take Note: Summarize the process used in Method 2 to evaluate the expression in Example 3 for the given values of the variables.

Take Note: Does Method 1 or Method 2 seem to be the most efficient? Explain.

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Problem 3 Got It?

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Take Note: Which of the following are true? Select all that apply.

Take Note: Which of the following is equivalent to 4^{-3}?

Problem 2 Got It?