My Math Forum  

Go Back   My Math Forum > High School Math Forum > Algebra

Algebra Pre-Algebra and Basic Algebra Math Forum


Thanks Tree1Thanks
  • 1 Post By skeeter
Reply
 
LinkBack Thread Tools Display Modes
April 19th, 2017, 06:59 AM   #1
Newbie
 
Joined: Apr 2016
From: England

Posts: 13
Thanks: 2

Getting stuck simplifying equations with unknown values.

Simplify
(t to the power of 3)to the power of 2

Simplify
w to the power of 9/w to the power of 4 (thats a fraction)

I have no idea where to start here as I've never really had to deal with simplifying powers. Any help would be massively appreciated!
WarmCustard is offline  
 
April 19th, 2017, 07:46 AM   #2
Math Team
 
Joined: Jul 2011
From: Texas

Posts: 2,624
Thanks: 1303

Do you mean ...

$(t^3)^2$ or $t^{3^2}$. ?

first one simplifies to $t^6$, second one is $t^9$
Thanks from topsquark
skeeter is online now  
April 19th, 2017, 09:38 AM   #3
Senior Member
 
Joined: May 2016
From: USA

Posts: 785
Thanks: 312

The laws of exponents for positive, real number a and real numbers b and c are:

$\text {Law 1 is: } a^0 \equiv 1.$

$\text {Law 2 is: } a^1 \equiv a.$

$\text {Law 3 is: } a^{-b} \equiv \dfrac{1}{a^b} \equiv \left ( \dfrac{1}{a} \right )^b.$

$\text {Law 4 is: } a^{(b+c)} \equiv a^b * a^c.$

$\text {Law 5 is: } a^{(b-c)} \equiv \dfrac{a^b}{a ^c}.$

$\text {Law 6 is: } a^{(bc)} \equiv (a^b)^c.$

$\text {Law 7 is: } c \ne 0 \implies a^{(b \div c)} \equiv \sqrt[c]{a^b}.$ And obviously $b \div c = \dfrac{b}{c}.$


Once you memorize those seven laws, you can do this type of problem forever.

If the base (a in the formulation above) is not positive, there are some special exceptions.

Laws 1 and 3 do not apply to zero. Law 7 may not give a real number as an answer.

Now you know virtually all you need to know about exponents in algebra.

Last edited by JeffM1; April 19th, 2017 at 09:45 AM.
JeffM1 is offline  
April 19th, 2017, 11:11 AM   #4
Math Team
 
Joined: Oct 2011
From: Ottawa Ontario, Canada

Posts: 10,471
Thanks: 693

Law 8 is use Google...
Denis is offline  
Reply

  My Math Forum > High School Math Forum > Algebra

Tags
equations, simplifying, stuck, unknown, values



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Some values of derivative of unknown function f? shiseonji Calculus 1 February 21st, 2014 04:53 AM
The system of equations (64 equations -12 unknown) solution ZeusTheMunja Linear Algebra 20 January 25th, 2013 05:52 AM
equations of unknown help please. link107 Algebra 4 February 28th, 2012 08:43 PM
stuck simplifying a quadratic, please help Dan154 Algebra 3 November 2nd, 2011 12:52 PM
Matrix row reduction with unknown values shadow85 Linear Algebra 5 January 24th, 2011 09:43 AM





Copyright © 2017 My Math Forum. All rights reserved.