step 1 Hello, so here are to the negative fourth. It means 1 over 8 to the 4th. That's going to push it

Question

$(4 a)^{-1}$

Name: Problem 68, Chapter 5: Elementary Algebra
Uploaded: 2022-02-07T03:03:42-08:00
Duration: 16 s
Channel: Nick Johnson
Description: (4 a)^-1

    $(4 a)^{-1}$

Elementary Algebra

Laura Bracken, Ed… 1st Edition

Chapter 5, Problem 68

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Solved by Expert Nick Johnson

02/07/2022

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$(4 a)^{-1}$

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Key Concepts

Negative Exponent

A negative exponent indicates that the base should be inverted. For any nonzero number or algebraic expression, raising it to the power of -1 means taking its reciprocal.

Reciprocal

The reciprocal of an expression is obtained by dividing 1 by that expression. This concept is directly connected to negative exponents, where a negative exponent transforms an expression into its reciprocal.

Algebraic Expression Manipulation

This involves rewriting expressions in equivalent forms by applying rules such as the properties of exponents. Recognizing that a negative exponent implies inversion is essential for simplifying and manipulating algebraic expressions.

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