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multiply. $-u^{6}(-7u^{6})$ simplify your answer as much as possible.

Question

multiply.
$-u^{6}(-7u^{6})$
simplify your answer as much as possible.

Explanation:

Step1: Multiply the coefficients

The coefficients are -1 (from \(-u^6\)) and -7 (from \(-7u^6\)). Multiplying them: \((-1)\times(-7) = 7\)

Step2: Multiply the variables using exponent rule

For the variable part \(u^6\times u^6\), use the rule \(a^m\times a^n=a^{m + n}\). So \(u^6\times u^6=u^{6 + 6}=u^{12}\)

Step3: Combine the results

Multiply the coefficient result and the variable result: \(7\times u^{12}=7u^{12}\)

Answer:

\(7u^{12}\)