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ગણિત ધોરણ 8 પ્રથમ સત્ર

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ગણિત

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CBSE Gujarat Board Haryana Board

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સાદું રૂપ આપો :
fraction numerator open parentheses 2 straight a squared space straight b cubed close parentheses to the power of 5 space cross times space open parentheses 2 straight a squared space straight b squared close parentheses cubed over denominator open parentheses 5 straight a to the power of 4 space straight b close parentheses to the power of 6 end fraction space semicolon space open parentheses straight a comma space straight b space not equal to space 0 close parentheses


equals space fraction numerator open square brackets open parentheses 2 close parentheses to the power of 5 space times space open parentheses straight a squared close parentheses to the power of 5 space times space open parentheses straight b cubed close parentheses to the power of 5 close square brackets space cross times space open square brackets open parentheses 2 close parentheses cubed space times space open parentheses straight a squared close parentheses cubed space times space open parentheses straight b squared close parentheses cubed close square brackets space over denominator open parentheses 5 close parentheses to the power of 6 space times space open parentheses straight a to the power of 4 close parentheses to the power of 6 space times space open parentheses straight b close parentheses to the power of 6 end fraction


equals space fraction numerator open parentheses 2 to the power of 5 space cross times space straight a to the power of 2 cross times 5 end exponent space cross times space straight b to the power of 3 cross times 5 end exponent close parentheses space cross times space open parentheses 2 cubed space cross times space straight a to the power of 2 cross times 3 end exponent space cross times space straight b to the power of 2 cross times 3 end exponent close parentheses over denominator 5 to the power of 6 space cross times space straight a to the power of 4 cross times 6 end exponent space cross times space straight b to the power of 6 end fraction


equals space fraction numerator 2 to the power of 5 space cross times space straight a to the power of 10 space cross times space straight b to the power of 15 space cross times space 2 cubed space cross times space straight b to the power of 15 space cross times space straight b to the power of 6 over denominator 5 to the power of 6 space cross times space straight a to the power of 24 space cross times space straight b to the power of 6 end fraction


equals space fraction numerator 2 to the power of 5 space cross times space 2 cubed space cross times space straight a to the power of 10 space cross times space straight a to the power of 6 space cross times space straight b to the power of 15 space cross times space straight b to the power of 6 over denominator 5 to the power of 6 space cross times space straight a to the power of 24 space cross times space straight b to the power of 6 end fraction


equals fraction numerator 2 to the power of 5 plus 3 end exponent space cross times space straight a to the power of 10 plus 6 end exponent space cross times space straight b to the power of 15 plus 6 end exponent over denominator 5 to the power of 6 space cross times space straight a to the power of 24 space cross times space straight b to the power of 6 end fraction


equals space fraction numerator 2 to the power of 8 space cross times space straight a to the power of 16 space cross times space straight b to the power of 21 over denominator 5 to the power of 6 space cross times space straight a to the power of 24 space cross times space straight b to the power of 6 end fraction


equals space 2 to the power of 8 over 5 to the power of 6 space cross times space 1 over straight a to the power of 24 minus 16 end exponent space cross times space straight b to the power of 21 minus 6 end exponent


equals space fraction numerator 2 to the power of 8 space straight b to the power of 15 over denominator 5 to the power of 6 space straight a to the power of 8 end fraction

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