Solve (x^a\timesx^b )^(a-b)\times(x^b\timesx^c)^(b-c)\times(x^c\timesx^a)^(c-a)

SSC CPO SI and ASI Model Paper 4

Question : 107 of 200

Marks: +1, -0

Solve

(x^a×x^b )^(a-b)×(x^b×x^c)^(b-c)×(x^c×x^a)^(c-a)

Solution:

(4) The given expression is

(x^a× x^b)^{(a -b)}×(x^b× x^c)^(b -c)×(x^c ×x^a)^(c -a)

= (x^{a+ b})^ (a- b )×(x^{b+c})^(b-c) +(x^{c+a})^(c- a)

x^{[a^2- b^2]} ×X^{[b^2 -c^2]}×X^[ {c^2 -^2 }]

= x^{a^2} - b^2+b^2 -c^2+c^2 - a^2

= x^ 0

= 1

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