Step-by-step explanation:
The exponent of a number describes how many times to multiply the number by itself.
[tex](0.2)^3=0.2 \times 0.2\times 0.2[/tex]
Multiply;
[tex]0.2 \times 0.2 \times 0.2[/tex]
[tex]0.04 \times 0.2[/tex]
[tex]0.008[/tex]
[tex]\boxed{C. \: 0.008 \: is \: the \: correct \: option.}[/tex]
1. Change 0.2 into fraction form.
[tex]0.2 = \frac{2}{10}[/tex]
2. Simplify (2/10)³.
[tex](\frac{2}{10})^{3}[/tex]
⇒ [tex](\frac{2}{10})(\frac{2}{10})(\frac{2}{10})[/tex]
⇒ [tex]\frac{8}{1000}[/tex]
3. Change 8/1000 into decimal form.
[tex]\frac{8}{1000} = \frac{0.8}{100} = \frac{0.08}{10} = \frac{0.008}{1} = 0.008[/tex]
Thus, Option C is correct.
