Algebra 1 7-2 Guided Practice: Multiplying Powers With the Same Base

Solve It! Scientists estimate the number of stars in the universe using this exponential expression.
The number of grains of sand in a cubic meter of beach sand can be approximated using this expression.
Suppose all of the sand from the world's beaches is combined into one large beach, as shown in the diagram. Are there more stars in the universe or grains of sand on the world's beaches?

Solve It! Explain your reasoning.

Take Note: Which of the following expressions are equivalent to 5^3\cdot5^2?

Take Note: To multiply powers with the same base, __________ the exponents.

Problem 1 Got It?

Take Note: Which powers below can be combined? Select all that apply.

Problem 2 Got It?

Take Note: Which of the following numbers are written in scientific notation? Select all that apply.

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

Problem 3 Got It?

Problem 4 Got It?

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Problem 4 Got It?

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Problem 4 Got It?

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Take Note: 

3^2 means __________.

In general, a^{\frac{1}{m}}=b means that b multiplied as a factor (multiplied by itself) m times equals __________.

Take Note: The equations a^{\frac{1}{m}}=b and b^{m}=a express the same relationship between __________.

Problem 5 Got It?

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Problem 5 Got It?

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Problem 5 Got It?

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Take Note: Which of the following are equivalent to 16^\frac{3}{2}?
Select all that apply.

Problem 6 Got It?

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Problem 6 Got It?

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Problem 6 Got It?

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Problem 6 Got It?

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Solve It! Explain your reasoning.

Take Note: Which of the following expressions are equivalent to 5^3\cdot5^2?

Problem 1 Got It?

Problem 1 Got It?

Problem 1 Got It?

Take Note: Which powers below can be combined? Select all that apply.

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

Take Note: Which of the following numbers are written in scientific notation? Select all that apply.

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

Problem 3 Got It?

Problem 4 Got It?

Problem 4 Got It?

Problem 4 Got It?

Problem 5 Got It?

Problem 5 Got It?

Problem 5 Got It?

Take Note: Which of the following are equivalent to 16^\frac{3}{2}? Select all that apply.

Problem 6 Got It?

Problem 6 Got It?

Problem 6 Got It?

Problem 6 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 equivalent to 16^\frac{3}{2}?
Select all that apply.