What is the value of 0.1 to the power of 3?

Solution:

The power of any number signifies how many times to use the number in a multiplication.

Given, 0.1 to the power of 3.

First, convert 0.1 into a fraction.

0.1 = 1/10

You can use Cuemath's decimal to fraction calculator to write 0.1 as a fraction.

Hence 0.1 to the power of 3 can be written as (1/10)³

Now, we will use the power of quotient property (x/y)^m = x^m/y^m.

(1/10)³ = (1/10) × (1/10) × (1/10) 

= (1³/10³)

= 1/1000

= 0.001

Therefore, (0.1)³ = (1/10)³ = 0.001

Hence, 0.1 to the power of 3 is 0.001

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What is the value of 0.1 to the power of 3?

Summary:

0.1 to the power of 3 is 0.001