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Simplify the following: $\frac{25 \times t^{-4}}{5^{-3} \times 10 \times 10^{-8}}$.
Given: $\frac{25 \times t^{-4}}{5^{-3} \times 10 \times 10^{-8}}$.
To do: To simplify: $\frac{25 \times t^{-4}}{5^{-3} \times 10 \times 10^{-8}}$.
Solution:
$\frac{25 \times t^{-4}}{5^{-3} \times 10 \times 10^{-8}}$
$=\frac{5^2\times t^{-4}}{5^{-3} \times 10 \times 10^{-8}}$
$=\frac{5^2\times t^{-4}}{5^{-3}\times 10^{-8+1}}$
$=5^{2}\times t^{-4}\times5^3\times10^{7}$
$=5^{2+3}\times 10^7\times t^{-4}$
$=\frac{5^5\times10^7}{t^4}$
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