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Simplify:

(3c^(2))^(3)
Answer:

Simplify:\newline(3c2)3 \left(3 c^{2}\right)^{3} \newlineAnswer:

Full solution

Q. Simplify:\newline(3c2)3 \left(3 c^{2}\right)^{3} \newlineAnswer:
  1. Apply Power Rule: To simplify the expression (3c2)3(3c^{2})^{3}, we need to apply the power of a power rule, which states that (am)n=amn(a^{m})^{n} = a^{m*n}. Here, a=3c2a = 3c^{2}, m=2m = 2, and n=3n = 3.\newlineCalculation: (3c2)3=33×(c2)3=27×c23=27×c6(3c^{2})^{3} = 3^{3} \times (c^{2})^{3} = 27 \times c^{2*3} = 27 \times c^{6}

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