step 1 To figure out negative 2 to the 5th power, we have to realize that we're multiplying negative 2

Question

$5^{-2}$

Name: Problem 54, Chapter 5: Elementary Algebra
Uploaded: 2020-04-28T03:01:55-08:00
Duration: 23 s
Channel: Heather Zimmers
Description: 5^-2

    $5^{-2}$

Elementary Algebra

Laura Bracken, Ed… 1st Edition

Chapter 5, Problem 54

Instant Answer

Solved by Expert Heather Zimmers

04/28/2020

Step 1

So, $5^{-2}$ is the same as $\frac{1}{5^2}$. Now, we just need to calculate $5^2$. Since $5^2 = 5 \times 5 = 25$, we have: Show more…

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$5^{-2}$

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Key Concepts

Exponentiation

Exponentiation is the mathematical operation of raising a number, known as the base, to a certain power, or exponent. This process represents repeated multiplication of the base by itself as many times as indicated by the exponent, and it is a fundamental concept in mathematics used to simplify computations and express very large or very small numbers compactly.

Negative Exponent

A negative exponent indicates that the base should be taken as the reciprocal raised to the corresponding positive exponent. In other words, a term like a^(-n) is equivalent to 1/(a^n). This rule helps in transforming expressions with negative powers into a fraction form, facilitating easier calculation and understanding of the underlying values.

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