3^n+9^n+1/3^n-1×9^n-1

Asked by sahilbramhane123 | 2nd Sep, 2020, 07:08: PM

Expert Answer:

{3n x 9n+1}/{3n-1 x 9n-1}
equals fraction numerator 3 to the power of straight n open parentheses 3 squared close parentheses to the power of straight n plus 1 end exponent over denominator 3 to the power of straight n minus 1 end exponent open parentheses 3 squared close parentheses to the power of straight n minus 1 end exponent end fraction
equals 3 to the power of straight n plus 2 straight n plus 2 end exponent over 3 to the power of straight n minus 1 plus 2 straight n minus 2 end exponent
equals 3 to the power of 3 straight n plus 2 end exponent over 3 to the power of 3 straight n minus 3 end exponent
equals 3 to the power of 3 straight n plus 2 minus 3 straight n plus 3 end exponent
equals 3 to the power of 5
equals 243

Answered by Renu Varma | 3rd Sep, 2020, 11:47: AM

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