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Simplify:

(-6x^(2))^(3)
Answer:

Simplify:\newline(6x2)3 \left(-6 x^{2}\right)^{3} \newlineAnswer:

Full solution

Q. Simplify:\newline(6x2)3 \left(-6 x^{2}\right)^{3} \newlineAnswer:
  1. Apply Power Rule: We have the expression (6x2)3(-6x^2)^3. To simplify this expression, we need to apply the power of a power rule, which states that (an)m=anm(a^n)^m = a^{n*m}.
  2. Calculate Exponents: Apply the power of a power rule to the expression (6x2)3(-6x^2)^3. This means we multiply the exponents of xx and raise the coefficient 6-6 to the power of 33.(63)(x23)=216x6(-6^3) \cdot (x^{2\cdot3}) = -216 \cdot x^6
  3. Combine Results: Combine the results to get the final simplified expression.\newline216×x6=216x6-216 \times x^6 = -216x^6

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