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Find the product. Simplify your answer. $\newline$ $(5b^4)(-9b^3)$

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Multiply polynomials

Full solution

Q. Find the product. Simplify your answer.

\newline

(5b^4)(-9b^3)

Identify expression and distribute: Identify the expression and use the distributive property to multiply the monomials. $\newline$ $(5b^4)(-9b^3)$ means we need to multiply $5b^4$ by $-9b^3$ .
Multiply coefficients of monomials: Multiply the coefficients (numerical parts) of the monomials. $5 \times -9 = -45$
Multiply variables and combine: Multiply the variables by adding their exponents, since they have the same base $b$ . $b^4 \times b^3 = b^{(4+3)} = b^7$
Get final product: Combine the results from the previous steps to get the final product. $\newline$ $-45 \times b^7 = -45b^7$

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