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If (3/5)x = 81/625, then what is the value of xx?

This question was previously asked in
UP Police SI (दरोगा) Previous Paper 1 (Held On: 12 Dec 2017 Shift 2)
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  1. 16
  2. 256
  3. 0
  4. 32

Answer (Detailed Solution Below)

Option 2 : 256
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Detailed Solution

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Given:

(3/5)x = 81/625

Calculation:

We know,

34 = 81 and 54 = 625

⇒ (3/5)4 = 81/625

(3/5)x = 81/625

∴ On comparing both the equation, we get

x = 4

Now, 

 xx  = 44 = 256

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