Question

please answer the question
please don't spam........​

Answer 1

${( \sqrt{3} )}^{5} \times {9}^{2} = {3}^{ \alpha } \times 3 \sqrt{3} \\ \\ {3}^{3} \times { {3}^{2 \times 2} } = {3}^{ \alpha } \times 3 \times {3}^{ \frac{1}{2} }$

⇒Base is same. Power will add.

_______________________________

${3}^{3 + 4} = {3}^{ \alpha } \times {3}^{ \frac{3}{2} } \\ \\ {3}^{7} = {3}^{ \frac{3}{2} + \alpha }$

⇒Now we can equate the powers.

_______________________________

$7 = \frac{3}{2} + \alpha \\ \\ 7 - \frac{3}{2} = \alpha$

$\boxed{ \frac{11}{2} = \alpha = 5.5}$

_______________________________

I hope it helped you ✌.

★Mark as Brainliest★