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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Updated on: 10-Oct-2022

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