step 1 Hello, so here we're given, negative 8, raise to the 0 power. Well, really, okay, the exponent o

Question

$8^{-2}$

Name: Problem 53, Chapter 5: Elementary Algebra
Uploaded: 2022-02-07T01:14:55-08:00
Duration: 35 s
Channel: Nick Johnson
Description: 8^-2

   $8^{-2}$

Elementary Algebra

Laura Bracken, Ed… 1st Edition

Chapter 5, Problem 53

Instant Answer

Solved by Expert Nick Johnson

02/07/2022

Step 1

First, we have a negative exponent, so we can rewrite the expression as a fraction with a positive exponent: $8^{-2} = \frac{1}{8^2}$ Show more…

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$8^{-2}$

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Key Concepts

Negative Exponents

Negative exponents signify the reciprocal of the base raised to the corresponding positive exponent. In essence, an expression with a negative exponent, like a^(-n), is equivalent to 1 divided by a raised to the n.

Exponential Notation

Exponential notation is a concise way to represent repeated multiplication of the same factor. It involves an expression where a base number is raised to an exponent, indicating how many times the base is multiplied by itself.

Laws of Exponents

The laws of exponents are a set of rules that govern the operations on exponential expressions. These rules help in simplifying expressions, such as multiplying and dividing powers with the same base and raising a power to a power.

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