How is this the answer?

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 power-2
I need a clarity how to convert these exponents to fractions
Posted by Ncwana Noziphiwo on Apr 03, 2018

https://www.tes.com/teaching-resource/indices-negative-indices-6427219

-62 means a number multiplied by itself twice
So in this case it is -6 x -6 = 36 - since -x- = +
If this was -6-2 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 2-3 - 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

Sorry but you are using the word EQUATION incorrectly. All you have is two numbers you want to divide one by the other.
Enter the numerator 1EE (-) 14, press the division key / then enter the 5 EE (-) 12. Press the = sign.
Note: to enter the negative sign in the exponents, use the change sign key marked (-), (+/-) or [+/-] . Do not use the regular MINUS sign.
When you use the EE key, you must not enter the 10. It is understood because EE is a shortcut for *10^.

Are you opening the parentheses in the first place? If you don't have a left parenthesis then you don't need a right parenthesis.

Could you post the exact sequence of keystrokes you're using?

Without knowing exactly what you're doing I can't be sure, but I suspect you're entering the 10^9 as something like 1 0 EE 9 .

1 0 EE 9 gives you 10 * 10^9, which is 10^10. You should be doing this as 1 5 0 0 / 1 EE 9 = .

To enter the power of 10 with exponent use the Exp key followed by the exponent. If the exponent is negative, you must use the negation key (-) not the - key (for subtraction).
When you press the Exp key you do not type in the 10.

To enter a power of 10 use the key EE
For 9.1x10^(-31): type 9.1 [EE] [(-)] 31. Here [(-)] is the change sign key.

There should be key marked [Y to the x] or [^]. If exponent is negative use the change sign key (-) not the MINUS sign.You will have to use the [^] key if you calculate roots of order higher than 3. Example 7th root of 353 =(353)[^](1/7)

joshua,

X = 3 (answer)

Here are the solution steps:

10x minus 3x equals 20 plus 1

10X minus 3X is 7X (right?)
20 plus 1 is 21 (right?)
therefore:

7X = 21

now divide both sides of the equals sign by 7

7X divided by 7 equals 21 divided by 7

7X / 7 = 21/7

X = 3 (answer)

More math? Ask for Gort007
Thanks for trusting FixYa !

(2x3^2) divided by (2x3^(-2))
just make sure to use double parenthesis around the negative exponent so that you get the right answer

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