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) = (1⁴/5⁴)

= 1/625 = 0.0016

Therefore, (0.2)⁴ = (1/5)⁴ = 0.0016

Hence, 0.2 to the power of 4 is 0.0016.