Simplification

Quantitative Aptitude (CPO)

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8^3.2 * (64)^4.4 * (56)^2.5 * (343)⁴ =56^?

10.5

16.3

14.5

11.11

Explanation:

8^3.2 * (64)^4.4 * (56)^2.5 * (343)⁴=56^?
=>8^3.2 * 8^(2*4.4) * (8*7)^2.5 * (7³)⁴= 56^?
=> 8^{(3.2 + 8.8 + 2.5)} * 7^{(2.5 + 12)} = 56^?
=> 56^14.5 = 56^?
=> ? = 14.5

Hence, option 3 is the correct answer.

By: Amit Kumar

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