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Chapter 5: Problem 34

Multiply the monomials. $$\left(3 x^{3}\right)(-2 x)\left(5 x^{6}\right)$$

Short Answer

Expert verified
The result of multiplying these monomials is \(-30x^{10}\).

Step by step solution

01

Multiply Coefficients

To begin, multiply the coefficients. In this case, it would be \(3 \times -2 \times 5\). The result is \(-30\).
02

Apply Exponent Laws

When multiplying terms with the same base, we add the exponents. So, for the x terms, add together the exponents \(3, 1,\) and \(6\) to obtain \(3+1+6=10\). This results in \(x^{10}\).
03

Combine Results

Combine the result of the multiplication of coefficients and the result of applying exponent laws to obtain \(-30x^{10}\).

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