/*! 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} Q2A. Simplify the expression聽3y47y5... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Q2A. (page 402)

Simplify the expression

3y47y5

Short Answer

Expert verified

The simplified version of3y47y5 is21y9

Step by step solution

01

Step 1. State the multiplication rule of Law of indices.

If the two terms have the same base (in this case x) and are to be multiplied together their indices are added.

In general:xm脳xn=xm+n

02

Step 2. Collect the like terms.

In the expression3y47y5, first collect the like terms. That is, write the constant terms together and the variable 鈥�y鈥� together.

3y47y5=3脳7y4脳y5鈥夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌�鈥�1

03

Step 3. Simplify the expression.

Now apply multiplication rule iny4脳y5.

y4脳y5=y9

Substitute y4脳y5=y9value in (1) for further simplification.

3y47y5=3脳7y9=21y9

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

MULTIPLE CHOICE Antonia is carpeting two of the rooms in her house. The dimensions are shown. What is the total area to be carpeted?

Fx2+3x

G2x2+6x鈭�10

Hx2+3x鈭�5

J8x+12

Determine whether the given expression is a monomial. Write yes or no.

Explain your reasoning.

5cd

PACKAGING For a commercial art class, Aiko must design a new container for individually wrapped pieces of candy. The shape that she chose is a cylinder. The formula for the volume of a cylinder is V=蟺r2h.

a. The radius that Aiko would like to use is 2p3, and the height is 4p3. Write a monomial that represents the volume of her container.

b. Make a table of values for five possible radius widths and heights if the volume is to remain the same.

c. What is the volume of Aiko鈥檚 container if the height is doubled?

Express each number in scientific notation.

0.00021

ENERGY Matter can be converted completely into energy by using the formula at the left. Energy is measured in joules, mass in kilograms, and the speed of light is about 300 million meters per second.

a. Complete the calculations to convert 3 kilograms of gasoline completely into energy.

b. What happens to the energy if the amount of gasoline is doubled?
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Decision Maths

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.