Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
3. More Multiplication Properties of Exponents
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Exercise 40 Page 437

Recall the Power of a Product and the Power of a Power Properties.

4.2875* 10^(- 11)

Practice makes perfect

We want to simplify the given expression and write the answer in scientific notation. To do so, we will apply the Power of a Product and the Power of a Power Properties. Power of a Product:& (ab)^n = a^nb^n Power of a Power:& (a^m)^n = a^(m* n)The above properties are valid when a≠ 0, b≠ 0, and when m and n are any rational numbers. Let's do it!

( 3.5* 10^(-4) )^3
(3.5)^3 * ( 10^(-4) )^3
(3.5)^3 * 10^(-12)
42.875 * 10^(- 12)

Now we have to write the simplified expression in scientific notation.

42.875* 10^(- 12)
4.2875* 10* 10^(- 12)
4.2875* 10^(1-12)
4.2875* 10^(- 11)