Question

Write each expression using a positive exponent. $$q^{-4}$$

   Write each expression using a positive exponent.
$$q^{-4}$$

Prealgebra

Carol E. Malloy,… 1st Edition

Chapter 4, Problem 23

Instant Answer

Solved by Expert Ashley Volpe

05/23/2020

Step 1

This means that $q$ is raised to the power of negative four. Show more…

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Write each expression using a positive exponent. $$q^{-4}$$

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Key Concepts

Negative Exponent Rule

A negative exponent indicates that the base should be taken as the reciprocal raised to the positive exponent. This is expressed algebraically as a^(-n) = 1/(a^n), which is fundamental to rewriting expressions with only positive exponents.

Reciprocal Concept

The reciprocal is the multiplicative inverse of a number or expression. When rewriting a negative exponent as a positive one, the original expression becomes the reciprocal of the base raised to the corresponding positive exponent, making it easier to simplify or evaluate.

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