Question

In the following exercises, simplify. $$2^{-5}$$

   In the following exercises, simplify.
$$2^{-5}$$

Prealgebra

Lynn Marecek,… 1st Edition

Chapter 10, Problem 319

Instant Answer

Solved by Expert Cory Kuzinski

04/07/2020

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In the following exercises, simplify. $$2^{-5}$$

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Key Concepts

Properties of Exponents

This concept refers to a set of rules that govern how to handle expressions involving exponents, including the multiplication, division, and raising powers to additional powers. It provides a framework for simplifying expressions with exponents by applying rules such as a^(-n) = 1/(a^n), which is essential for dealing with non-standard exponent cases.

Negative Exponents

A negative exponent indicates that the base should appear in the denominator of a fraction. Specifically, any expression a^(-n) can be rewritten as 1/(a^n). This concept is crucial for understanding how to simplify expressions that involve powers with negative exponents, turning them into equivalent expressions involving positive exponents.

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