Problem

c) $\left(6 x^{6}\right):\left(-3 x^{4}\right)$

Answer

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Answer

\(\boxed{-2x^{2}}\) is the final answer

Steps

Step 1 :Given the expression \(\left(6 x^{6}\right):\left(-3 x^{4}\right)\)

Step 2 :First, divide the coefficients of the two terms. The coefficient of the first term is 6 and the second term is -3. So, \(\frac{6}{-3} = -2\)

Step 3 :Next, subtract the exponents of the variables. The exponent of x in the first term is 6 and in the second term is 4. So, \(6 - 4 = 2\)

Step 4 :Therefore, the simplified form of the given expression is \(-2x^{2}\)

Step 5 :\(\boxed{-2x^{2}}\) is the final answer

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