Question

\(\frac{5^4.20^4}{25^5.4^5}\)

Answer 1

=\(\frac{100^4}{100^5}=100^{-1}=\frac{1}{100}\)

Answer 2

\(\frac{5^4.20^4}{25^5.4^5}=\frac{\left(5.20\right)^4}{\left(25.4\right)^5}=\frac{100^4}{100^5}=100^{-1}=\frac{1}{100}\)

Answer 3

\(\frac{5^4.20^4}{25^5.4^5}=\frac{5^4.\left(5.4\right)^4}{\left(5^2\right)^5.4^5}=\frac{5^4.5^4.4^4}{5^{10}.4^5}=\frac{5^{16}.4^4}{5^{10}.4^5}\)=\(\frac{5^6}{4}\)=\(\frac{3125}{4}\)

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