What is $3$ to the power of $- 1$ ?

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Solution

Calculate the exponent power of a number.
From the law of exponent,
$a^{- m} = \frac{1}{a^{m}}$
Put $a = 3 and m = - 1$ :
Thus,
$3^{- 1} = \frac{1}{3}$
Hence, $3$ to the power of $- 1$ is equal to $\frac{1}{3}$ .

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