What is 3 to the power of -1- - Maths Q-A

Calculate the exponent power of a number.From the law of exponent, a^ m=1/a^mPut a=3 and m= 1:Thus,3^ 1=1/3Hence, 3 to the power of 1 is equal to1/3. ...

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Standard VII

Mathematics

Power of a Power

What is 3 to ...

Question

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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What is 3 to the power of -1?

Calculate the exponent power of a number.From the law of exponent, a-m=1amPut a=3andm=-1:Thus,3-1=13Hence, 3 to the power of -1 is equal to13.

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

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 $\frac{1}{3}$ .