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 38 Page 437

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

5.476* 10^9

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!

( 7.4* 10^4 )^2
(7.4)^2 * ( 10^4 )^2
(7.4)^2 * 10^8
54.76 * 10^8

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

54.76* 10^8
5.476* 10 * 10^8
5.476* 10^(1+8)
5.476* 10^9