Negative 1/6 *2 3/4

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

Rules for multiplying signed numbers: like signs positive, unlike signs, negative, so your answer is negative.

Do yourself a favor and get rid of the negative signs: Multiply the inequality by (-1) and change its direction. It will look like
x^2+4x+12<0
Complete the square x^2+4x +4 +8 = (x^2+4x+4) +8=(x+2)^2+8 as you can see, the first term (x+2)^2 is always positive, and +8 is also positive. So their sum is positive and never be less than 0.
x^2+4x+12 is ALWAYS positive.
Your inequality has no solutions.

When you say "to numbers" I assume you meant "two numbers."

There is no solution.

For the product of two numbers to be 280, either both numbers must be positive or both numbers must be negative. For the sum of two numbers to be -18, one or both numbers must be negative. Taken together, both numbers must be negative.

We can find two numbers that multiply to 280 and add to +18, then simply take the negative of both numbers.

The square root of 280 is about 16.7. The sum of any two numbers that multiply to 280 must be at least twice that, or at least 33.4. Since 33.4 is greater than 18, there is no solution.

If you want to do it the hard way, take any pair of negative numbers that multiply together to 280, add them together, and see how close you come to -18. For example, -1 and -280 add to -281. -2 and -140 add to -142. -4 and -70 add to -74. -5 and -56 add to -61. -7 and -40 add to -47. -8 and -35 add to -43. -10 and -28 add to -38. -14 and -20 add to -34, which is as close as you can come in the integers.

Make sure you use the +/- key (located just to the right of the decimal point key) to enter a negative number, not the - key (to the right of the + key, used to subtract one value from another).

For example, press +/- 4 / +/- 3 = to divide -4 by -3 .

-1.5 (negative 1 point 5 or negative three-halves).

Make sure you use the +/- key just to the right of the decimal point key when entering negative values, including exponents.

1 . 6 7 EE 2 1 * 9 . 1 1 EE +/- 3 1 =

Make sure you use the +/- key (just to the right of the decimal point) to input negative numbers.

Press +/- 4 . 5 * +/- 1 . 1 =

I never know if these questions are serious, but I'll play along.

Remember the definition of a power: it's a number multiplied by itself that many times. For example, 4 to the 3rd power (4^3) is 4 X 4 X 4, or 64. So the problem you list can be written

9^2 + (-7^3) + (-6^2) + 5, or

9 X 9 + (-7 X -7 X -7) + (-6 X -6) + 5

Don't forget that negative X negative = positive when multiplying.

81 + (-343) + 36 + 5 = -221

when you type -2 imagine your calculator doing the equation: -1 x 2. The - sign actually stands for a -1 so when you do -2 squared your calculator is simply following order of operations. It first squares the 2 making it 4, then it multiplies the negative making it -4. In order to get around this you must use parenthese. (-2)^2.

Hope this helped