# Chapter 7 - Exponents and Exponential Functions - 7-2 Scientific Notation - Practice and Problem-Solving Exercises - Page 424: 39

The answer is 2.7$\times$$10^{-8} #### Work Step by Step To solve for the product of (9\times$$10^{7}$)(3$\times$$10^{-16}), you multiply 9 by 3 which gives you 27. to multiply 10^{7} by 10^{-16}, you keep the base 10 and add the exponents as it is one of the laws which equals 10^{-9}. The solution is 27\times$$10^{-9}$. However, for scientific notation you can only have one number before the decimal place so you have to rewrite it as 2.7$\times$$10^{-8}$, as since you moved back a decimal place, you added one to your exponent.

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