Simplify (x^(r/s))^(s/r)

Problem

(x(r/s()))(s/r)

Solution

1. Identify the power of a power rule for exponents, which states that (am)n=a(m⋅n)

2. Multiply the exponents together to simplify the expression.

r/s()⋅s()/r

3. Simplify the resulting product of the fractions by canceling the common terms r and s()

(r⋅s())/(s⋅r)=1

4. Rewrite the expression with the new simplified exponent.

x1=x

Final Answer

(x(r/s()))(s/r)=x

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