B.P.S.C. School Teacher 24.08.2023 (I)

What is the value of the following? $x^{a(b-c)} \times x^{b(c-a)} \times x^{c(a-b)}$

a0
b1✓ Correct
c$x$
dMore than one of the above
eNone of the above

Explanation

$x^{a(b-c)} \times x^{b(c-a)} \times x^{c(a-b)}$ $= x^{ab-ac} \times x^{bc-ab} \times x^{ac-bc}$ $= x^{(ab-ac) + (bc-ab) + (ac-bc)}$ $= x^0 = 1$ $= x^0 = 1$ (513) ## Page 12

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