ROOTS AND EXPONENTS | root power
Contentofthispage: Introduction RootsasPowers,PropertiesofPowers,ImportantProperty,ProductandQuotientofRoots SolvedExercises:simplifyingexpressionswithroots IntroductionPowerisanexpressionofthistypeab=a·a···a·aThisexpressionrepresentstheresultofmultiplyingthebase,a, byitselfasmanytimesastheexponent,b,indicates. Wereaditas"atothepowerofb".Inthispagewearegoingtoseecaseswheretheexponent,b,isafraction. Inotherwords,wearegoingtow...
Content of this page:
Introduction
Roots as Powers, Properties of Powers, Important Property, Product and Quotient of Roots
Solved Exercises: simplifying expressions with roots
IntroductionPower is an expression of this type
ab = a · a · · · a · aThis expression represents the result of multiplying the base, a, by itself as many times as the exponent, b, indicates. We read it as "a to the power of b".
In this page we are going to see cases where the exponent, b, is a fraction. In other words, we are going to work with roots and their powers.
Roots as PowersLet n be a natural number different from zero (1, 2, 3, 4,...),
We will call the root of degree n or nth root of the number a to $$ sqrt[n]{a} = afrac{1}{n} := b, bn = a...