Mark the correct alternative in the following question:

$If a b c = 0, then find the value of {\{{(x^{a})}^{b}\}}^{c} . (a) 1 (b) a (c) b (d) c$

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Solution

Since,

${\{{(x^{a})}^{b}\}}^{c} = {(x^{a})}^{b c} [As, {(x^{m})}^{n} = x^{m n}] = x^{a b c} [As, {(x^{m})}^{n} = x^{m n}] = x^{0} [As, a b c = 0] = 1 [As, x^{0} = 1]$

Hence, the correct alternative is option (a).

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