Question

(0.2)^3 A. 0.04 B. 3.2 C. 0.008 D. 0.6

Answer 1

Solution:

1. Change 0.2 into fraction form.

$0.2 = \frac{2}{10}$

2. Simplify (2/10)³.

$(\frac{2}{10})^{3}$

⇒ $(\frac{2}{10})(\frac{2}{10})(\frac{2}{10})$

⇒ $\frac{8}{1000}$

3. Change 8/1000 into decimal form.

$\frac{8}{1000} = \frac{0.8}{100} = \frac{0.08}{10} = \frac{0.008}{1} = 0.008$

Thus, Option C is correct.

Answer 2

Step-by-step explanation:

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

$(0.2)^3=0.2 \times 0.2\times 0.2$

Multiply;

$0.2 \times 0.2 \times 0.2$

$0.04 \times 0.2$

$0.008$

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