## Elementary Technical Mathematics

Published by Brooks Cole

# Chapter 2 - Section 2.5 - Powers of 10 - Exercises - Page 122: 26

#### Answer

$\frac{1}{10^{25}}$

#### Work Step by Step

$\frac{(10^{-4})^6}{10^4\times10^{-3}}\longrightarrow$ to raise a power to a power multiply the exponents $\frac{10^{-24}}{10^4\times10^{-3}}\longrightarrow$ to multiply powers of 10, add the exponents $=\frac{10^{-24}}{10^{4+(-3)}}$ $=\frac{10^{-24}}{10^1}\longrightarrow$ to divide powers of 10, subtract the exponents $=10^{-24-1}$ $=10^{-25}$ $=\frac{1}{10^{25}}$

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