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

RRB Group-D Model Paper 12 with answers for online practice

Question : 8 of 100

Marks: +1, -0

(3/5)^{x}

= 81/625, then what is the value of

x^x

Solution:

Given:

(3/5)^x

= 81/625
Calculation:
We know,

3^4 = 81 \and 5^4= 625

⇒

(3/5)^4 = 81/625

(3/5)^x = 81/625

∴ On comparing both the equation, we get
x = 4
Now,

x^x

4^4

= 256

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