3. Find value of X if (x-26)(53 + 52)/(53- 52) = 1

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Q. If

\frac{25}{k} = 1^{2} - \frac{2^{2}}{5} + \frac{3^{2}}{5^{2}} - \frac{4^{2}}{5^{3}} + \frac{5^{2}}{5^{4}} - \frac{6^{2}}{5^{2}} + . . . . . . \infty

, then find the value of

k

If, $x = {(\frac{- 4}{5})}^{30} \div {(\frac{- 4}{5})}^{28}$ and $y = {(\frac{- 4}{5})}^{2} \times {(\frac{- 4}{5})}^{3}$ , find the value of $(x^{3} \div y)^{2}$

If $x = {(\frac{- 2}{5})}^{30} \div {(\frac{- 2}{5})}^{28}$ and $y = {(\frac{- 2}{5})}^{2} \times {(\frac{- 2}{5})}^{3}$ , find the value of $(x^{3} \div y)^{2}$ .

Q. Solve :

5^{(x + 1)} + 5^{(2 - x)} = 5^{3} + 1

Q. If

x = {(\frac{- 2}{5})}^{30} \div {(\frac{5}{- 2})}^{- 28}

and

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

, then find the value of

(x^{3} \div y)^{2}

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