Fixya maths 4 indices
Indices n surds
Hai again your support helps me alot can you please differentiate for me between the following 6to the power 2 and 6 to the power 2,& 2 to the power 3 + 1/3 to the power2
I need a clarity how to convert these exponents to fractions
Posted by Ncwana Noziphiwo on Apr 03, 2018
https://www.tes.com/teachingresource/indicesnegativeindices6427219
62 means a number multiplied by itself twice
So in this case it is 6 x 6 = 36  since x = +
If this was 62 the negative power means it's a fractional indice so first make it look like a fraction
1/62 now it looks like a fraction (inverse) and the power mow looks like a normal square
Coz its still a negative number 6 x 6 = 36
So the answer is now 1/36
So when it is a minus power, first turn it into a fraction, then calculate as normal
Note: every number has a sign, it is either + or minus.
By convention, we always assume it is a plus unless stated otherwise.
To make sure u remember this fact put a plus sign in front of every number if no sign is showing
You can start with buses the 27 bus is +27
Its like if u say u have a car, what u really mean is you have 1 car. But u drop the 1 coz everyone takes for granted u meant 1 car, 1 house, 1 friend etc
Every power we assume its + unless otherwise stated.
So when a minus is put in front of the power, its saying make it a fraction first!
Maths is a game and games have rules.
This rule is a minus in front of power (indice) change to fraction form first!
So if it is 23  the power 3 is saying turn it into a fraction first so
1/23 = 1/ 2x2x2 = 1/8
If it had of been 23 notice how no signs shown because we take for granted they r all +
Let's show them
+2+3 since it's a plus 3 we don't need to change it to a fraction and since it is a plus 2
We have +2 x + 2 x +2 and a +x+ x+ = +
2x2x2 = 8
Its easier to just do 23 = multiply the 2 by itself 3 times
2x2x2 = 8
When doing fractions of any type I prefer showing them as being more obviously top/bottom
1

2
Format and for that free hand is easier as typing is hard...lol
Ie
Numerator Denominator
When using a number that's a fraction it is better tro enclose it in brackets
As every indice is of the form  numberpower
The number can just as easily be a fractional number like a 1/3
So (1/3)2 is a third multiplied by itself
1/3 x 1/3 = 1x1/3x3 = 1/9
If it was (1/3)2 then first u must get rid of the minus power by turning it into a fraction
1/(1/3)2
1/1/3 x 1/3
1/1/9
And 1 divided by a ninth =
1 to be cont  tired..lol