# How much is 0.2 to the power of 4?

We will unravel the solution to this question by the power of a quotient property of exponents. The exponent of any number represents how many times to use the number in a multiplication.

## Answer: 0.2 to the power of 4 is 0.0016.

Let's unravel the solution to the question by using the power of quotient property by following steps.

**Explanation:**

We have given that, 0.2 to the power of 4.

Convert 0.2 into a fraction.

0.2 = 2/10 = 1/5

Hence 0.2 to the power of 4 can be written as (1/5)^{4}

We use the power of quotient property (x/y)^{m} = x^{m}/y^{m}.

(1/5)^{4} = (1/5) × (1/5) × (1/5) × (1/5) = (1^{4}/5^{4})

= 1/625 = 0.0016

Therefore, (0.2)^{4} = (1/5)^{4 }= 0.0016

### Hence, 0.2 to the power of 4 is 0.0016.

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