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Chapter 7: Q66. (page 406)

Write three different expressions that can be simplified tox6.

Short Answer

Expert verified

The three different expressions that can be simplified as x6are

x2脳x4,鈥夆赌�x3脳x3,鈥夆赌夆�塧nd鈥夆赌�x脳x5

Step by step solution

01

Step 1. State the multiplication rule of laws 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. Find the three different additions in which number 6 will be obtained.

The number 6 can be obtained in the following three different ways.

2+4=63+3=61+5=6

03

Step 3. Find the required expression.

Using the multiplication rule of indices the three different expression that can be simplified to x6are as follows.

x6=x2+4=x2脳x4x6=x3+3=x3脳x30x6=x1+5=x1脳x5=x脳x5鈥夆赌夆�夆赌夆�夆赌夆�夆赌夆��x1=x

Therefore, the required expression arex2脳x4,鈥�x3脳x3鈥夆赌塧nd鈥夆赌墄脳x5.

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Most popular questions from this chapter

Determine whether each expression is a polynomial. If so, identify the polynomial as a monomial, binomial, or trinomial.

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

Explain your reasoning.

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Choose a term from the Key Vocabulary list above that best describes the given expression.

x2+1

Choose a term from the Key Vocabulary list above that best describes the given expression.

7xy4

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