A negative base is a point of conflict between the three commonly used meanings of exponentiation. For the continuous real exponentiation operator, you're not allowed to have a negative base. For the …

Jul 22, 2018 · How do I understand fractional exponents like 1/2, 3/2, 1/5, etc? Like $y$ raised to a power 2 is $y.y$ and when the power is increased or decreased by one, it means ...

Jul 19, 2015 · Since we would like the Power of Powers Rule (see section on Five Laws of Exponents in Exponentiation) to hold true, let's take this equation and substitute in our initial identity for $\sqrt [b]x$ …

May 20, 2016 · Before computers were available log tables were used to compute logs and fractional exponents. You say "by hand" but I'm assuming that reasonably sized pre-computed tables are allowed.

Apr 3, 2023 · How do calculators calculate fractional and decimal exponents, and how could it be done on paper? Ask Question Asked 2 years, 8 months ago Modified 2 years, 8 months ago

I've been calculating fractional exponents my whole academic life without really questioning why they can be calculated/defined the way they are. Let's say we have $9^\\frac{1}{2}$. This equals $3$,...

Nov 3, 2016 · 12 We know that the binomial theorem and expansion extends to powers which are non-integers. For integer powers the expansion can be proven easily as the expansion is finite. However …

Jan 23, 2017 · 2 I have read through this thread. It mentions that there a several conventions for rational exponents.The first condition for the first convention for exponent laws to apply is that the base be …

Jun 3, 2019 · Fractional exponents proof Ask Question Asked 6 years, 6 months ago Modified 6 years, 6 months ago

I am trying to understand the different rules for multiplying exponents by fractional exponents and raising whole numbers by the power of fractional exponents. I have an idea but I'm trying to assure myself.