step 1 Okay, so here we have negative 4 to 0 is equal to 1. Anything to the 0 power is equal to 1. So w

Question

$(-4)^{0}-4^{0}$

Name: Problem 19, Chapter 4: Beginning and Intermediate Algebra
Uploaded: 2022-02-07T01:17:50-08:00
Duration: 21 s
Channel: Nick Johnson
Description: (-4)^0-4^0

   $(-4)^{0}-4^{0}$

Beginning and Intermediate Algebra

Margaret L. Lial,… 7th Edition

Chapter 4, Problem 19

Instant Answer

Solved by Expert Nick Johnson

02/07/2022

Step 1

According to the rule of exponents, any number raised to the power of 0 is 1. So, $(-4)^{0}$ and $4^{0}$ both become 1. Show more…

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$(-4)^{0}-4^{0}$

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Key Concepts

Zero Exponent Rule

The zero exponent rule states that any nonzero number raised to the power of zero equals one. This fundamental property of exponents is crucial in algebra, allowing for the simplification and evaluation of expressions regardless of the sign or complexity of the base.

Properties of Exponents

Understanding the properties of exponents is key to correctly handling mathematical expressions involving powers. This includes knowing that the operations of exponentiation apply uniformly even when dealing with negative bases, as long as the exponent is correctly applied (such as in the zero exponent rule).

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