Exponents Definition and 268 Threads

I just want to know if a negative exponent is as just the same as saying one over another number. For example: 5^1/3 = 5^-3 Another thought would base numbers only affect base numbers and exponents only affect exponents?

hello everyone I'm really stuck on logs. My teacher doesn't take pride in her work and teaches very sloppy stuff. I was wondering if I can get help with these questions. 1) log to the base 3 of x - log to the base 6 of x = 2 2) a lab tecnician places a bacterial cell into a vial at 5...

How do you do this problem (without a calculator) that looks deceivingly simple, yet is utterly confusing. (2 ^ 30 - 2 ^ 29)/2 = ?. The answer is 2 ^ 28, but how was this done without using a calculator. The furthest I can take this without using a calculator is 2 ^ 29 - 2 ^ 28

How do you solve: ln(1-x) = a(b-1/T) ln(x) = c(d-1/T) for x and T ? I see that x = e^c(d-1/T) and 1 = e^a(b-1/T) + e^c(d -1)/T but it is unclear to me what substitution to try next. Thanks cvr

Reading on Calculas you can see that the slope of a tangent can have an exponet,but why? In Alegra and Trig we were always taught that slope was a fraction and x was never sqaured or cubed like in The Linear Eqaution Y=MX+B. In calculas DY can eqaul Xsqaured, Xcubed or to any degree. But...

Hi, I am trying to solve this question in my textbook. It asks me to find the last digit of the following expression: 222^{555} + 555^{222} Now, I have tried using modular arithmetic to solve this question, but I'm stuck. And I'm not all too sure if took the right approach or not, any hints?

Could someone please check my work? Write as a single logarithm: \frac{1}{4}[2(log_2 x + 3 log_2 y) - 3 log_2 z] I got log_2(\frac{x^2y^6}{z^3})^\frac{1}{4} \frac{3}{5}[\frac{1}{2}(log_2 x + 3 log_2 y) - 2(log_2 x - 4 log_2 y)] I got log_2 (\frac{x^\frac{1}{2}y^{1.5}}{x^2} \cdot...

holy cow i feel dumb... i know these are super easy but i just can't figure it out. 1. --- (10^2)^8 divided by (10^-2)^3 2. --- 1.2x10^-6 divided by 4.2x10^-2 if anyone can give me a kick in the brain it would be awsome 1.--- 10^22? 2. -- 2.9x10^5??

Hi I have a small question about exponents: when we write a^x (i will write it this way but i talk about the traditional notation) this means that the base is only a? I mean that if we have ba^x or -a^x then then these are equal to b(a^x) and -(a^x) ? These are also because of the order of...

Well it appears that as i get higher in math, i lose the stuff i learned awhile ago. This type has me stumped for some reason. x^3 + X^5=0 Or another one X^3 + x^4=0 I can break them down to X^3(1+X^2)=0 or X^3(X +1)=0 I just can seem to solve these simple guys.

Hi, i am having a little trouble with a couple of math questions, i thought i was doing them right but cannot get the answer. Ok the questions are: (p^2q+ pq^3)^3 / p^3q^4 Now I do not know what to do, the answer i was told is suppose to be: (p+q^2)^3 / q I just don't know how to get...

Hi... I'm new... I was having problem with these questions: (a^3 x b)^2 (-a/b)^3 I ended up with a^-9(b)... is that wrong or right? and (x/-y)^3 (-xy)^4 I got up to (-x^7 y^4 )/ -y^3 I don't know what to do here. Thanks!

I was looking at the different ways the operations +, *, and exponentiation can work on three natural numbers x, y, and z. I found a weird pattern when the second operation performed is exponentiation. These are the expressions: (x+y)^z \ x^{(y+z)} \ (x \cdot y)^z \ x^{(y \cdot z)} \...

What's actually the definition of a^{m/n} where m and n are integers and a is any real number? Suppose I define it as the n-th square root of a^m. Wouldn't it be inconsistent with other stuffs? What stuffs? For example, a^1 is supposed to be a. But 1 = 2/2 and, using my earlier definition...

I'm doing a projext for school and I need to know how to use the ^ operator or if it even exists i looked everywhere and couldent find it.

The problem I have is to find the derivative of the function: f(x) = (ln x)^x I know the derivative of ln x is 1/x, but the exponent is throwing me off. Can anyone offering any help? Thanks alot

I'm sure I've seen it...I've searched under "typing exponents" , "how exponents" and "superscript" and can't come up with a thread on getting exponents to show as superscript rather than (x^2). I will gladly pay you Tuesday for a hamburger today. Thank you in advance. E6S

I'm currently doing a project for my Computer Science class (this is in QBASIC). The purpose is to "teach" someone how to do something and include some type of game. For example, you could teach someone to Add/Subtract and give them clues and help them along the way. So I've decided on...