CBSE Class 6 Answered

simplify (25)3/2 x(343) _______________________________ (16)1/4 x (8)4/3 x (7)3/5

Asked by Venkatraman | 19 Sep, 2015, 05:39: PM

Expert Answer

$C o n s i d e r space t h e space n u m e r i c a l space e x p r e s s i o n comma space fraction numerator open parentheses 25 close parentheses to the power of begin display style 3 over 2 end style end exponent cross times 343 over denominator open parentheses 16 close parentheses to the power of begin display style 1 fourth end style end exponent cross times open parentheses 8 close parentheses to the power of begin display style 4 over 3 end style end exponent cross times open parentheses 7 close parentheses to the power of begin display style 3 over 5 end style end exponent end fraction fraction numerator open parentheses 25 close parentheses to the power of begin display style 3 over 2 end style end exponent cross times 343 over denominator open parentheses 16 close parentheses to the power of begin display style 1 fourth end style end exponent cross times open parentheses 8 close parentheses to the power of begin display style 4 over 3 end style end exponent cross times open parentheses 7 close parentheses to the power of begin display style 3 over 5 end style end exponent end fraction equals fraction numerator open parentheses 25 close parentheses to the power of 1 open parentheses 25 close parentheses to the power of begin display style 1 half end style end exponent cross times open parentheses 7 close parentheses cubed over denominator open parentheses 2 to the power of 4 close parentheses to the power of begin display style 1 fourth end style end exponent cross times open parentheses 2 cubed close parentheses to the power of begin display style 4 over 3 end style end exponent cross times open parentheses 7 close parentheses to the power of begin display style 3 over 5 end style end exponent end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator open parentheses 25 close parentheses to the power of 1 open parentheses 5 squared close parentheses to the power of begin display style 1 half end style end exponent cross times open parentheses 7 close parentheses cubed over denominator open parentheses 2 to the power of 1 close parentheses to the power of begin display style 4 over 4 end style end exponent cross times open parentheses 2 to the power of 4 close parentheses to the power of begin display style 3 over 3 end style end exponent cross times open parentheses 7 close parentheses to the power of begin display style 3 over 5 end style end exponent end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator open parentheses 25 close parentheses cross times open parentheses 5 close parentheses cross times open parentheses 7 close parentheses to the power of 3 minus begin display style 3 over 5 end style end exponent over denominator 2 cross times 16 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator open parentheses 25 close parentheses cross times open parentheses 5 close parentheses cross times open parentheses 7 close parentheses to the power of 12 over 5 end exponent over denominator 2 cross times 16 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 125 cross times open parentheses 7 close parentheses to the power of 10 over 5 end exponent cross times 7 to the power of begin display style 2 over 5 end style end exponent over denominator 32 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 125 cross times open parentheses 7 close parentheses squared cross times 7 to the power of begin display style 2 over 5 end style end exponent over denominator 32 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 125 cross times 49 cross times 7 to the power of begin display style 2 over 5 end style end exponent over denominator 32 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 6125 cross times 7 to the power of begin display style 2 over 5 end style end exponent over denominator 32 end fraction$