Chapter 7: Q5. (page 459)

Choose a term from the Key Vocabulary list above that best describes the given expression.
${(a^{7})}^{3} = a^{21}$

Short Answer

Expert verified

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

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 power of a power rule.

The power of a power rule states that if a base raised to a power is being raised to another power, the exponents are multiplied and the base remains the same.

${(x^{m})}^{n} = x^{m n}$

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

Step 3. Write the best description for the expression a73=a21.

Observe the expression, ${(a^{7})}^{3} = a^{21}$ .

$\begin{matrix} {(a^{7})}^{3} = a^{7 \times 3} \\ = a^{21} \end{matrix}$

The expression, ${(a^{7})}^{3} = a^{21}$ involves power of a power.

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

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

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Choose a term from the Key Vocabulary list above that best describes the given expression.
${(a^{7})}^{3} = a^{21}$

Short Answer

Step by step solution

Step 1. Define an expression.

Step 2. Define power of a power rule.

Step 3. Write the best description for the expression a73=a21.

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Choose a term from the Key Vocabulary list above that best describes the given expression.a73=a21

Short Answer

Step by step solution

Step 1. Define an expression.

Step 2. Define power of a power rule.

Step 3. Write the best description for the expression a73=a21.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Logic and Functions

Theoretical and Mathematical Physics

Mechanics Maths

Pure Maths

Geometry

Study anywhere. Anytime. Across all devices.

Choose a term from the Key Vocabulary list above that best describes the given expression.
${(a^{7})}^{3} = a^{21}$