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Chapter 5: Problem 30

Multiply the monomials. $$\left(-6 y^{4}\right)\left(2 y^{3}\right)$$

Short Answer

Expert verified
The product of \(-6y^4\) and \(2y^3\) is \(-12y^7\).

Step by step solution

01

Multiply the Coefficients

First, multiply the coefficients of the two monomials. The coefficient of \(-6y^4\) is -6 and the coefficient of \(2y^3\) is 2. The product of -6 and 2 is -12.
02

Add the Exponents of the Same Base

Next, add the exponents of y. The exponent of y in \(-6y^4\) is 4 and the exponent of y in \(2y^3\) is 3. The sum of 4 and 3 is 7.
03

Write the Final Answer

Write the product from step 1 as the coefficient and the sum from step 2 as the exponent of 'y'. So, the product of \(-6y^4\) and \(2y^3\) is \(-12y^7\).

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Most popular questions from this chapter

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