Algebra 1 7-4 Guided Practice: Division Properties of Exponents

By Matt Richardson
Last updated over 2 years ago
20 Questions
1.

Solve It! A machine makes wooden dowels by removing material from a block of wood as shown in the diagram. What percent of the wood does the maching remove from the original piece of wood to form the dowel?

2.

Take Note: Which of the following are equivalent to the expression below?

\frac{3^{5}}{3^{2}}

Select all that apply.

3.

Take Note: Which of the following is equivalent to the expression below?

\frac{x^{y}}{x^{z}}

4.
Take Note: To divide powers with the same base, __________ the exponents.
5.

Take Note: Which of the following are equivalent to the expression below?

\frac{b^{7}}{b^{7}}

Select all that apply.

6.

Problem 1 Got It?

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7.

Problem 1 Got It?

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8.

Problem 1 Got It?

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9.

Problem 1 Got It?

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10.

Problem 1 Got It?

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11.

Take Note: Summarize the process of dividing numbers in scientific notation. You may use the canvas to help illustrate your written response.


12.

Problem 2 Got It?

13.

Take Note: Which of the following are equivalent to the expression below?

(\frac{x}{y})^3

Select all that apply.

14.
Take Note: To raise a quotient to a power, __________ and simplify.
15.

Take Note: Which of the following is equivalent to the expression below?

(\frac{x}{y})^a

16.

Problem 3 Got It? What is the simplified form of the expression?

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17.

Problem 3 Got It? Reasoning: Describe two different ways to simplify the expression.
Which method do you prefer?
You may use the canvas to help illustrate your response.


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18.

Take Note: Summarize the process of rewriting expressions with negative exponents using only positive exponents. You may use the canvas to help illustrate your response.


19.

Problem 4 Got It?

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20.

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