Yep.....it's still positive.......
But.....you're asking about taking a negative to a negative power......if the power is even, the result is positive.....but, if the exponent is odd, the result is negative....Example :
(5)-2 = 1/(5)2 = 1/25
(-5)-3 = 1/(-5)3 = -1/125
1. (a + b)2 =
a b
a a² ab
b ab b²
Listing the terms of the last two terms in the rows, we have
a2 + ab + ab + b2 =
a2 + 2ab + b2
2. .......GM, I don't know exactly what a "rectangle diagram" is, but if it's along the lines of the first problem, we have :
x 3
x x^2 3x
-y -xy - 3y
-1 -x -3
Listing and combining the results of the last two terms in the three rows,we have
x^2 + 3x - xy - 3y - x - 3 =
x^2 + 2x - 3y - xy - 3
-1 11\12 ÷ 1 1\3
- [ 1 + 11/12] = - [ 23/12]
[1 + 1/3} = 4/3
So we have
-23/12 / 4/3 invert the second fraction and multiply
-23/12 * 3/4 =
-69/48 = reduce
-23/16
Assuming you want to facor this, we have :
4v2-16v+7 =
(2v - 7) ( 2v - 1)
It doesn't matter which order in which the sales discount and coupon are applied....
Applying the discount and then the coupon, we have.....
270 *(1.00 - .25 ) * (1.00- .10) = $182.25
√ [ 5 - √ (4 - x) ] = 0 square both sides
5 - √ (4 - x) = 0 add √ (4 - x) to both sides
5 = √ (4 - x) square both sides again
25 = 4 - x add x to both sies, subtract 25 from both sides
x = -21
Think about this .......
If one atom weighs 1/2 of a gram, we just need to invert the fraction to find out how many attoms in a whole gram = 2/ 1 = 2
So
3.3 x 10-22 =
3.3 / 1022 invert this and we have
1022/ 3.3 ≈ 3,030,303,030,303,030,303,030 atoms
Just divide the numerator by the denominator to get a decimal number......then........move the decimal two places to the right and add a % sign
Example
4/9 ≈ .4444 ≈ 44.44%
Here are two pretty helpful tutorials :
http://chemistry.about.com/od/mathsciencefundamentals/a/sigfigures.htm
http://www.chemteam.info/SigFigs/SigFigRules.html
The "lcm' is the same as the "common denominator"
6 = 2 * 3
8 = 2^3
Selecting each different factor along with its highest power, we have :
3 * 2^3 =
3 * 8 =
24
