Question

yrrrrr help me a plzzz....................​

Answer 1

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${6}^{2n} = \frac{1}{216}$

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We know that 6 * 6 * 6 = 216

=> 6³ = 216

So we can write

${6}^{2n} = \frac{1}{ {6}^{3} }$

We know that $\frac{1}{ {a}^{3}} = {a}^{-3}$

Hence $\frac{1}{ {6}^{3}} = {6}^{-3}$

So

${6}^{2n} = {6}^{ - 3}$

Bases are same

So powers will also be same

2n = -3

=> n = -3/2