body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Pearson Algebra 1 Common Core, 2011

PA

Pearson Algebra 1 Common Core, 2011 View details

Chapter Review

Finish the assignment

Continue to next subchapter

Exercise 48 Page 476

Recall the Property for Dividing Powers with the Same Base.

5* 10^(- 5)

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!

4.5* 10^3/9* 10^7

Write as a product of fractions

4.5/9 * 10^3/10^7

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

4.5/9 * 10^(3-7)

Subtract term

4.5/9 * 10^(- 4)

Calculate quotient

0.5* 10^(- 4)

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

0.5* 10^(- 4)

Rewrite 0.5 as 5 * 10^(- 1)

5* 10^(- 1) * 10^(- 4)

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

5* 10^(- 1 + (- 4))

a+(- b)=a-b

5* 10^(- 1 - 4)

Subtract term

5* 10^(- 5)

Subchapter links

Exercises p.474-478