Answer
$0.00000001$
Work Step by Step
RECALL:
(i) $\dfrac{a^m}{a^n} = a^{m-n}$
(ii) $a^{m} \cdot a^{n} = a^{m+n}$
(ii) $a^{-m} = \dfrac{1}{a^m}, a\ne0$
Use rule (ii) above to have:
$=\dfrac{10^{8+(-10)}}{10^{4+2}}
\\=\dfrac{10^{-2}}{10^{6}}$
Use rule (i) above to have:
$=10^{-2-6}
\\=10^{-8}$
Use rule (iii) to have:
$=\dfrac{1}{10^8}
\\=\dfrac{1}{100,000,000}
\\=0.00000001$
