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Chapter 2: Q3. (page 110)

Translate each sentence into an equation.

The product of five and w is the same as w to the third power.

Short Answer

Expert verified

The required equation is 5w=w3.

Step by step solution

01

Step 1. Apply the concept of multiplication of a constant and a variable.

A constant is a number like 1,2,10.5,etc. A variable is a letter or a literal used to signify an unknown quantity.

When a constant is multiplied by a variable we just append the constant in front of the variable.

We are given a constant 5and a variable w, so their product will be5w

02

Step 2. Apply the concept of raising variable to an index.

When a variable is multiplied by itself we raise the index/exponent of the variable by two, when it is multiplied once more to this product we raise the index to three. In this fashion, variables are written for example,

x脳x=x2x脳x脳x=x3

Thuswraised to the third power is written as

w3

03

Step 3. Evaluate the two results.

To get the final expression we equate the results of steps 1 and 2 to get:

5w=w3

Thus, the required equation is 5w=w3.

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