/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 1 Multiply each expression using t... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 1

Multiply each expression using the product rule. $$x^{15} \cdot x^{3}$$

Short Answer

Expert verified
The product of \(x^{15}\) and \(x^{3}\) is \(x^{18}\).

Step by step solution

01

Identify the Base and the Exponents

In the expression \(x^{15} \cdot x^{3}\), the base in both the exponential expressions is 'x'. The first exponent is 15 and the second exponent is 3.
02

Apply the Product Rule

Having identified the base and the exponents, the Product Rule can be applied. The Product Rule states that \(x^{m} \cdot x^{n} = x^{m+n}\). Hence, the application of the Product Rule to the given expression results in \(x^{15+3}\).
03

Simplify the Exponent

Now add the exponents in the expression obtained in the previous step. \(x^{15+3} = x^{18}\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Explain the quotient rule for exponents. Use \(\frac{3^{6}}{3^{2}}\) in your explanation.

Explain how to multiply monomials. Give an example.

Simplify each exponential expression. Assume that variables represent nonzero real numbers. $$\frac{\left(2^{1} x^{3} y^{-1}\right)^{-2}\left(2 x^{6} y^{4}\right)^{-2}\left(9 x^{3} y^{3}\right)^{0}}{\left(2 x^{4} y^{6}\right)^{2}}$$

Perform the indicated operations. $$(x+5)(x-6)-(x+2)(x-9)$$

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. I wrote a number where there is no advantage to using scientific notation instead of decimal notation.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.