# Chapter 7 - Exponents and Exponential Functions - 7-3 More Multiplication Properties of Exponents - Practice and Problem-Solving Exercises - Page 437: 35

1.024 $\times$ $10^{13}$

#### Work Step by Step

You are given (4 $\times$ $10^{2}$$)^{5}.Simplify the expression: 4^{5} \times (10^{2}$$)^{5}$ -raise each term to the power 2- 1024 $\times$ $10^{10}$ -simplify the exponent and multiply the power to the power- 1.024 $\times$ $10^{13}$- move the decimal three places to the right and add 3 to the power so it is in scientific notation form- The simplified expression is 1.024 $\times$ $10^{13}$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.