What is the value of

$$\frac{(0.2 imes 0.2 + 0.04 imes 0.04)}{(0.4 imes 0.4 + 0.08 imes 0.08)}$$?

Question

What is the value of

$$\frac{(0.2 	imes 0.2 + 0.04 	imes 0.04)}{(0.4 	imes 0.4 + 0.08 	imes 0.08)}$$?

Accepted Answer

Solution:
Given expression:
$$ \frac{0.2 	imes 0.2 	imes 0.2 + 0.04 	imes 0.04 	imes 0.04}{0.4 	imes 0.4 	imes 0.4 + 0.08 	imes 0.08 	imes 0.08} $$
This can be written as:
$$ \frac{(0.2)^3 + (0.04)^3}{(0.4)^3 + (0.08)^3} $$
Now calculate the numerator:
$$ (0.2)^3 = 0.008 $$
$$ (0.04)^3 = 0.000064 $$
$$ 0.008 + 0.000064 = 0.008064 $$
Now calculate the denominator:
$$ (0.4)^3 = 0.064 $$
$$ (0.08)^3 = 0.000512 $$
$$ 0.064 + 0.000512 = 0.064512 $$
So,
$$ \frac{0.008064}{0.064512} = 0.125 $$
Therefore,
$$ \boxed{0.125} $$
Final Answer: **(b) 0.125**

Answer

Answer

Answer