Question

if anyone answers it correctly I will mark them as the brainlist ​

Answer 1

$\large\underline\purple{\bold{Solution :- }}$

$\tt \:  ⟼ \: {2}^{x} \times {3}^{y} \times {5}^{z} = 2160$

$\tt \:  ⟼ \: {2}^{x} \times {3}^{y} \times {5}^{z} =2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 5$

$\tt \:  ⟼ \: {2}^{x} \times {3}^{y} \times {5}^{z} = \: {2}^{4} \times {3}^{3} \times {5}^{1}$

$\tt\implies \:x = 4, \: y \: = 3 \: and \: z \: = 1$

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$\tt \:  ⟼Now, \: {3}^{x} \times {2}^{ - y} \times {5}^{ - z}$

$\tt \:  = {3}^{4} \times {2}^{ - 3} \times {5}^{ - 1}$

$\tt \:  = 81 \times \dfrac{1}{8} \times \dfrac{1}{5}$

$\tt \:  = \dfrac{81}{40}$

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