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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

4. Division Properties of Exponents

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Exercise 29 Page 443

Recall the Property for Dividing Powers with the Same Base.

7 * 10^(- 3)

Practice makes perfect

We want to simplify the given quotient and express it in scientific notation. To do so, we will apply the Property for Dividing Powers With the Same Base. a^m/a^n = a^(m-n)The above property is valid when a≠ 0 and when m and n are both rational numbers. Let's do it!

3.5* 10^6/5* 10^8

Write as a product of fractions

3.5/5 * 10^6/10^8

a^m/a^n= a^(m-n)

3.5/5 * 10^(6-8)

Subtract term

3.5/5 * 10^(- 2)

Calculate quotient

0.7 * 10^(- 2)

Now, we will write the simplified expression in scientific notation.

0.7 * 10^(- 2)

Rewrite 0.7 as 7* 10^(- 1)

7* 10^(- 1) * 10^(- 2)

a^m*a^n=a^(m+n)

7 * 10^(- 1 + (- 2))

a+(- b)=a-b

7 * 10^(- 1 - 2)

Subtract term

7 * 10^(- 3)

Subchapter links

Lesson Check p.442

Practice and Problem-Solving Exercises p.442-445

Standardized Test Prep p.445

Mixed Review p.445