Surds and Indices Practice Test 2

Question : 6 of 17

Marks: +1, -0

The value of

(x^b/x^c)^a.(x^c/x^a)^b.(x^a/x^b)^c

is:

Solution:

(x^b/x^c)^a=x^{ab}/x^{ac}

(x^c/x^a)^b=x^{bc}/x^{ab}

(x^a/x^b)^c=x^{ac}/x^{bc}

∴(x^b/x^c)^a.(x^c/x^a)^b.(x^a/x^b)^c

=x^{ab}/x^{ac}×x^{bc}/x^{ab}×x^{ac}/x^{bc}=1

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