step 1 For exercise 11, we have our denominators x squared and x to the power of 5. Now, when we multip

Question

$\left(9 x^{-3}\right)\left(4 x^{5}\right)$

Name: Problem 13, Chapter 5: Elementary Algebra
Uploaded: 2022-02-14T01:58:16-08:00
Duration: 39 s
Channel: Victor Salazar
Description: (9 x^-3)(4 x^5)

   $\left(9 x^{-3}\right)\left(4 x^{5}\right)$

Elementary Algebra

Laura Bracken, Ed… 1st Edition

Chapter 5, Problem 13

Instant Answer

Solved by Expert Victor Salazar

02/14/2022

Step 1

First, we can multiply the coefficients (the numbers in front of the variables): $9 * 4 = 36$. Show more…

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$\left(9 x^{-3}\right)\left(4 x^{5}\right)$

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Key Concepts

Multiplication of Monomials

This concept involves multiplying coefficients (constant numbers) together and using the same base variable raised to an exponent. When multiplying monomials, one multiplies the numerical coefficients and applies the rules of exponents to the variables.

Product of Powers Rule

The rule states that when multiplying exponential expressions with the same base, the exponents are added. That is, for any base x and exponents a and b, x^a multiplied by x^b equals x^(a+b).

Negative Exponents

A negative exponent indicates the reciprocal of the base raised to the corresponding positive exponent. For example, x^(-n) is equivalent to 1/(x^n). This concept is essential when simplifying expressions that include terms with negative exponents.

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