What is the value of the following? \frac{(5\cdot4)^3-0\cdot064}{(5\cdot4)^2+2\cdot16+0\cdot16}

Explanation

The expression matches the identity \frac{a^3 - b^3}{a^2 + ab + b^2} = a - b, where a = 5.4 and b = 0.4 (as 0.4^3 = 0.064 and 0.4^2 = 0.16). The result is 5.4 - 0.4 = 5.

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