
Algebra PreAlgebra and Basic Algebra Math Forum 
 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! 
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 $t^9$ 
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: $\text {Law 1 is: } a^0 \equiv 1.$ $\text {Law 2 is: } a^1 \equiv a.$ $\text {Law 3 is: } a^{b} \equiv \dfrac{1}{a^b} \equiv \left ( \dfrac{1}{a} \right )^b.$ $\text {Law 4 is: } a^{(b+c)} \equiv a^b * a^c.$ $\text {Law 5 is: } a^{(bc)} \equiv \dfrac{a^b}{a ^c}.$ $\text {Law 6 is: } a^{(bc)} \equiv (a^b)^c.$ $\text {Law 7 is: } c \ne 0 \implies a^{(b \div c)} \equiv \sqrt[c]{a^b}.$ 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. 
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...


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 