step 1 So I have 5 over x to the third. So my base would be the 5 over x, and the 3 would be the expone

Question

$(5 x)^{0}$

Name: Problem 47, Chapter 5: Elementary Algebra
Uploaded: 2020-07-18T02:34:56-08:00
Duration: 28 s
Channel: Sherrie Fenner
Description: (5 x)^0

   $(5 x)^{0}$

Elementary Algebra

Laura Bracken, Ed… 1st Edition

Chapter 5, Problem 47

Instant Answer

Solved by Expert Sherrie Fenner

07/18/2020

Step 1

Step 1: Recall that any non-zero number raised to the power of 0 is equal to 1. Show more…

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$(5 x)^{0}$

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Key Concepts

Zero Exponent Rule

This rule states that any nonzero number or expression raised to the power of zero is equal to one. It is a fundamental property of exponents that follows from the laws of exponentiation when dividing like bases, ensuring consistency of the arithmetic operations with exponents.

Nonzero Base Consideration

When applying the zero exponent rule, it is essential that the base of the exponent is nonzero. This condition is important because the expression 0^0 is considered indeterminate or undefined in many mathematical contexts, thereby requiring caution when the base includes variables or potential zero values.

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