Q.5.    Simplify:

            (ii)\frac{25\times 5^{2}\times t^{8}}{10^{3}\times t^{4}}

Answers (1)
M mansi

(ii)\frac{25\times 5^{2}\times t^{8}}{10^{3}\times t^{4}}

can be simplified as 

=\frac{5^2\times 5^{2}\times t^{8}}{(2\times 5)^{3}\times t^{4}}

=\frac{5^{(2+2)}\times t^{8}}{2^3\times 5^{3}\times t^{4}}

=\frac{5^{4}\times t^{8}}{2^3\times 5^{3}\times t^{4}}

=\frac{5^{4-3}\times t^{(8-4)}}{2^3}

=\frac{5\times t^{4}}{2^3}

=\frac{5 t^{4}}{8}

 

 

 

 

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