Question

5.5 multiplying polynom
(1 point)
multiply
-4n^{6}·3n^{2}=
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Explanation:

Step1: Multiply the coefficients

Multiply \(-4\) and \(3\).
\(-4\times3=-12\)

Step2: Apply the rule of exponents for multiplying powers with the same base

For \(n^{6}\cdot n^{2}\), use the rule \(a^{m}\cdot a^{n}=a^{m + n}\). Here \(a = n\), \(m = 6\), \(n=2\), so \(n^{6}\cdot n^{2}=n^{6 + 2}=n^{8}\)

Step3: Combine the results

Combine the coefficient result and the variable - exponent result.
\(-4n^{6}\cdot3n^{2}=(-4\times3)\times(n^{6}\cdot n^{2})=-12n^{8}\)

Answer:

\(-12n^{8}\)