Q.5.    Simplify:

            (i)\: \frac{(2^{5})^{2}\times 7^{3}}{8^{3}\times 7}

           

Answers (1)

(i)\: \frac{(2^{5})^{2}\times 7^{3}}{8^{3}\times 7}

can be simplified as 

= \frac{2^{(5\times 2)}\times 7^{3}}{(2^3)^{3}\times 7}

= \frac{2^{10}\times 7^{3}}{(2^{(3\times 3)})\times 7}

= \frac{2^{10}\times 7^{3}}{(2^{9})\times 7}

=2^{(10-9)}\times 7^{(3-1)}

=2\times 7^{2}

=2\times49=98

 

 

 

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