Question

answer this plz ☺️☺️​

Answer 1

(3²)² = (3³) power x / (27) power -1

3⁴ = 3 power 3x × 27

3⁴ = 3 power 3x × 3³

3⁴ = 3 power 3x + 3

when bases are equal powers also equal

4 = 3x + 3

3x = 4 - 3

3x = 1

x = 1/3

Answer 2

$\Huge{\textbf{\textsf{{\purple{Ans}}{\pink{wer}}{\color{pink}{:}}}}}$

${ ({3}^{2} )}^{2} = \frac{ { {(3}^{3}) }^{x} }{ {27}^{ - 1} } = \frac{ {3}^{3x} }{ \frac{1}{27} } \\ \implies \: {3}^{4} = {3}^{3x} \times 27 = {3}^{3x} \times {3}^{3} \\ \implies \: {3}^{4} = {3}^{3x + 3} \\ \therefore \: 3x + 3 = 4 \\ \implies \: 3x = 4 - 3 = 1 \\ \therefore \: x = \frac{1}{3} \\ \: \: \huge \mathbb \red{\boxed{ \therefore \: x = \frac{1}{3} }}$