Question

Evaluate the expression. $$ 3^{-1} $$

Name: Problem 4, Chapter 8: Algebra 1: Concepts and Skills
Uploaded: 2020-04-20T13:07:37-08:00
Duration: 52 s
Channel: Kimberly Konzack
Description: Evaluate the expression. 3^-1

   Evaluate the expression.
$$
3^{-1}
$$

Algebra 1: Concepts and Skills

Ron Larson, Laurie… 1st Edition

Chapter 8, Problem 4

Instant Answer

Solved by Expert Kimberly Konzack

04/20/2020

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Step 1: The given expression is $3^{-1}$. Show more…

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Evaluate the expression. $$ 3^{-1} $$

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Key Concepts

Exponentiation

Exponentiation is a fundamental arithmetic operation where a base number is multiplied by itself a given number of times as indicated by the exponent. It is used extensively in algebra to denote repeated multiplication and to simplify expressions involving powers.

Negative Exponents

Negative exponents indicate the reciprocal of the base raised to the absolute value of the exponent. They are defined such that for any nonzero number, raising it to a negative exponent is equivalent to dividing 1 by the number raised to the positive exponent.

Reciprocals

A reciprocal of a number is the result of dividing 1 by that number. In the context of negative exponents, the reciprocal is a crucial concept because a negative exponent effectively converts the base into its reciprocal form.

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