The value of `((0.13)^2+(0.21)^2)/((0.39)^2+81(0.07)^2) div((2.4)^4+3xx(11.52)+9)/((2.4)^6+6(2.4)^4+3xx(17.28))` lies between `:`

Options

A. 0.5 and 0.6
B. 0.4 and 0.5
C. 0.6 and 0.7
D. 0.7 and 0.8

Answer

To solve the given expression step by step, we will break it down into manageable parts and simplify each component before performing the final division.

### Step 1: Simplify the Numerator
We start with the numerator of the first fraction:
\[ (0.13)^2 + (0.21)^2 \]
Calculating each term:
\[ (0.13)^2 = 0.0169 \quad \text{and} \quad (0.21)^2 = 0.0441 \]
Adding these together:
\[ 0.0169 + 0.0441 = 0.061 \]