# Chapter 7 - Exponents and Exponential Functions - 7-4 Division Properties of Exponents - Practice and Problem-Solving Exercises - Page 443: 30

1 picosecond = $\displaystyle \frac{1}{10^{12}}$ seconds.

#### Work Step by Step

1 hour = 3600 seconds $3.6\times 10^{15}$ (picoseconds per hour) = $\displaystyle \frac{3.6\times 10^{15}}{1\text{ hour}}\text{ picoseconds}$ = $\displaystyle \frac{3.6\times 10^{15}}{3600 1\text{ seconds}}\text{ picoseconds}$ $=\displaystyle \frac{3.6}{3600}\cdot 10^{15}$ picoseconds per second $=\displaystyle \frac{1}{1000}\cdot 10^{15}$ picoseconds per second $=\displaystyle \frac{10^{15}}{10^{3}}$ picoseconds per second $=10^{15-3}$ picoseconds per second $=10^{12}$ picoseconds per second 1 picosecond = $\displaystyle \frac{1}{10^{12}}$ seconds.

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