Chapter 7: Q6. (page 459)

Choose a term from the Key Vocabulary list above that best describes the given expression.
$5^{- 2} = \frac{1}{5^{2}}$

Short Answer

Expert verified

The given expression can be best described as a negative exponent.

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 negative exponent rule.

According to the negative exponent rule a number raised to a negative power is equal to one over the number raised to the positive power.

$a^{- n} = \frac{1}{a^{n}}$

Where, role="math" localid="1647721808273" $a$ is any non-zero real number.

Step 3. Write the best description for the expression, 5−2=152.

Observe the expression, $5^{- 2} = \frac{1}{5^{2}}$ .

This expression, involves 5 to the power minus 2 is equal to one over 5 to the power positive 2.

So, it can be termed as a negative exponent.

Therefore the given expression can be best described as a negative exponent.

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Choose a term from the Key Vocabulary list above that best describes the given expression.
$5^{- 2} = \frac{1}{5^{2}}$

Short Answer

Step by step solution

Step 1. Define an expression.

Step 2. Define negative exponent rule.

Step 3. Write the best description for the expression, 5−2=152.

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Choose a term from the Key Vocabulary list above that best describes the given expression.5−2=152

Short Answer

Step by step solution

Step 1. Define an expression.

Step 2. Define negative exponent rule.

Step 3. Write the best description for the expression, 5−2=152.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Discrete Mathematics

Statistics

Decision Maths

Pure Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Choose a term from the Key Vocabulary list above that best describes the given expression.
$5^{- 2} = \frac{1}{5^{2}}$