To simplify the expression \(\frac{0.64 \times 0.081 \times 0.5}{0.09 \times 0.25 \times 0.16}\), we can first compute the values of the numerator and the denominator separately.
Numerator: \[ 0.64 \times 0.081 \times 0.5 \] Calculating step-by-step:
- \(0.64 \times 0.081 = 0.05184\)
- \(0.05184 \times 0.5 = 0.02592\)
So, the numerator is \(0.02592\).
Denominator: \[ 0.09 \times 0.25 \times 0.16 \] Calculating step-by-step:
- \(0.09 \times 0.25 = 0.0225\)
- \(0.0225 \times 0.16 = 0.0036\)
So, the denominator is \(0.0036\).
Now, substituting the values back into the expression: \[ \frac{0.02592}{0.0036} \]
Dividing these two numbers: \[ 0.02592 \div 0.0036 = 7.2 \]
Thus, the value of the given expression is: \[ \boxed{7.2} \]
