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If x^1/p = y^1/q = z^1/r and x*y*z = 1, then the value of p q r is .?? Options are-- a)1 b) 0 c) 1/2 d) none of these?
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If x^1/p = y^1/q = z^1/r and x*y*z = 1, then the value of p q r is .??...
Solution:

Given, x^1/p = y^1/q = z^1/r and x*y*z = 1

Let's assume k = x^(1/p) = y^(1/q) = z^(1/r)

Therefore, x = k^p, y = k^q and z = k^r

Substituting in x*y*z = 1, we get

k^(p+q+r) = 1

Therefore, k = 1

Substituting k = 1 in the given equation x^1/p = y^1/q = z^1/r

We get, x^1/p = y^1/q = z^1/r = 1

Therefore, p = q = r = 1

Hence, the value of p q r is 1.

Answer: (a) 1
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If x^1/p = y^1/q = z^1/r and x*y*z = 1, then the value of p q r is .?? Options are-- a)1 b) 0 c) 1/2 d) none of these?
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