Question

(a⁴ b² c)³ = _____
(a) a⁷ b⁵ c³ (b) a¹² b⁶ c³ (c) a⁴ b² c³
Write the correct answer from the given alternatives to make the statement true.

Answer 1

$\textbf{Your answer }$ !!

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${a}^{12} {b}^{6} {c}^{3}$

Hence option b is correct !

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Answer 2

Option ( b ) is correct.

Explanation :

( a⁴ b² c )³

= ( a⁴ )³ × ( b² )³ × c³

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We know the Exponential laws:

1 ) ( xyz )ⁿ = xⁿ × yⁿ × zⁿ

2 ) ( x^m )ⁿ = x^mn

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= ( a^4×3 ) × ( b^2×3 ) × c³

= a^12 × b^6 × c³

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