Chapter 7: Q4. (page 459)

Choose a term from the Key Vocabulary list above that best describes the given expression.
$(x y^{3}) (x^{2} y^{4}) = x^{3} y^{7}$

Short Answer

Expert verified

The given expression can be best described as the power of a product.

Step by step solution

Step 1. Define an expression.

A mathematical expression is a combinations of numbers and variables ordered with mathematical operations.

Step 2. Define the meaning of power of a product rule.

Power of a product rule states that if the two exponents of the same base are multiplied then the exponents are added and base remains the same.

$a^{m} . a^{n} = a^{m + n}$

Where, $a$ is any non-zero real number.

Step 3. Write the best description for the expression xy3x2y4=x3y7.

Observe the expression, $(x y^{3}) (x^{2} y^{4}) = x^{3} y^{7}$ .

Since,

localid="1647720081617" $(x y^{3}) (x^{2} y^{4}) = (x) (y^{3}) (x^{2}) (y^{4}) = (x) (x^{2}) (y^{3}) (y^{4}) = (x^{1 + 2}) (y^{3 + 4}) = x^{3} y^{7}$

So, the expression, $(x y^{3}) (x^{2} y^{4}) = x^{3} y^{7}$ involves the products of the powers of $x$ and $y$ .

So, it can be termed as the power of a product.

Therefore the given expression can be best described as the power of a product.

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Choose a term from the Key Vocabulary list above that best describes the given expression.
$(x y^{3}) (x^{2} y^{4}) = x^{3} y^{7}$

Short Answer

Step by step solution

Step 1. Define an expression.

Step 2. Define the meaning of power of a product rule.

Step 3. Write the best description for the expression xy3x2y4=x3y7.

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Choose a term from the Key Vocabulary list above that best describes the given expression.xy3x2y4=x3y7

Short Answer

Step by step solution

Step 1. Define an expression.

Step 2. Define the meaning of power of a product rule.

Step 3. Write the best description for the expression xy3x2y4=x3y7.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Mechanics Maths

Decision Maths

Probability and Statistics

Calculus

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Choose a term from the Key Vocabulary list above that best describes the given expression.
$(x y^{3}) (x^{2} y^{4}) = x^{3} y^{7}$