Question

Evaluate: (1/3)^k=9
It's a Indices question and you need to find out the value of K

Answer 1

$\huge \boxed{ \mathfrak{Hello \: Friend }}$

$Here \: is \: your \: answer \colon -$

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$(\frac{1}{3})^{k} = 9$

${3}^{ { - 1} \times {k} } = {3}^{3}$

${3}^{ - k} = {3}^{3}$

$When \: the \: bases \: are \: the \: same \\ \: we \: drop \: them \: in \: order \: to \: get \\ \: the \: correct \: answer$

$\therefore \: - k = 3$

$which \: means \: \boxed{ k = - 3}$

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$Hope \: it \: helps \: you$

$\mathcal{Please \: mark \: brainliest \: if \: you \: liked \: my \: answer}$