Question

(0.2)^3


A. 0.04

B. 3.2

C. 0.008

D. 0.6

Answer 1

1. Change 0.2 into fraction form.

`0.2 = (2)/(10)`

2. Simplify (2/10)³.

`((2)/(10))^(3)`

⇒
`((2)/(10))((2)/(10))((2)/(10))`

⇒
`(8)/(1000)`

3. Change 8/1000 into decimal form.

`(8)/(1000) = (0.8)/(100) = (0.08)/(10) = (0.008)/(1) = 0.008`

Thus, Option C is correct.

Answer 2

Explanation:

The exponent of a number describes how many times to multiply the number by itself.

`(0.2)^3=0.2 * 0.2* 0.2`

Multiply;

`0.2 * 0.2 * 0.2`

`0.04 * 0.2`

`0.008`

`\boxed{C. \: 0.008 \: is \: the \: correct \: option.}`