Each cupcake needs 30ml of dough.if this mixture makes 1,5 liters of dough,how many cupcakes can you make with this mixture

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

that sounds like a problem about "slopes" so I am looking at using the derivative, which is basically the slope of the graph.
- the equation of line PQ can be simplified to y(x) = -2kx + k -8
- derivative relative to X (k is a constant) gives you -2k
- derivative of y(x) = 4x + 7 relative to x gives you 4

if the lines are parallel then the slopes are equal:
-2k=4 gives you k = -2 => your function becomes y = 4x - 8

if the lines are perpendicular the two slopes multiplied together give you -1:
-2k * 4 = -1 gives you k=1/8 => function becomes y = -1/4x - 7/8 or in other words y = -(2x+7)/8

I have made graphic representation and it looks to be correct.
I hope it makes sense.

Being aware of what the word means literally, what it implies, and in what context it is applied. Although 90% of communication is non-verbal, just nuances of language can lead to miscommunication. Just what is considered appropriate speech may also require sensitivity to a cultural norm.

Just want to make sure that we are on the same page.

2^(-3) + 3^(-3)

2 to the exponent -3 + 3 to the exponent -3

Because of BEDMAS, we have to do the exponent calculations first and then do the addition between the two terms last.

The rule of negative exponents is you put 1 over the base to the same exponent, but change the exponent from negative to positive.

=1/(2^3) + 1/(3^3)

= 1/8 + 1/27

To add or subtract numbers, we need a common denominator.

Let's factor 8 and 27 to get the lowest common multiple.

8 - 1 2 4 8
27 - 1 3 9 27

Nothing in common to eliminate, so we have to use 8 x 27 or 216.

27/216 + 8/216 = 35/216

Good luck,

Paul

Come on David. Take 23 divided by 4 1/3 or 4.333 and what do you get?

Semper Fi,
Z

speed= distance/time
speed=4281/4.5 km/h
speed=951.34 kmph
hence, the plane fly at 951.34 kmph

Let's look at the overall picture. Does it make sense if you have a fifth of a pizza and add a half pizza, you get less than a third of a pizza.

Now, into the math.
Here is a fifth of a pizza.


Here is half a pizza.



It is hard to add these two.

We find the least common multiple of the denominators 2 and 5 and get 10.

Let's redo the pizzas in 10 slices.



And the half pizza.




Now with the same sized slices, we can add the slices and calculate the result.


Now we have seven slices out of ten, or 7/10.

Good luck.

Paul