Answer
$ 10^4.$
Work Step by Step
We simplify by using the rules of the exponents as follows:
$$
\frac{(10^{-4} )( 10^{-8})^{2}}{(10^{4})^{-6}}=\frac{(10^{-4} )( 10^{-16})}{(10^{-24})}=\frac{10^{-20}}{10^{-24}}= 10^4.
$$
Elementary Technical Mathematics
by Nelson, Robert; Eren, Dale;
Published by
Brooks Cole
ISBN 10:
1285199197
ISBN 13:
978-1-28519-919-1
Chapter 2 - Test - Page 133: 27
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