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What represents the smallest unit of measurement nm mm cm m?
nm. A nanometer represents 10 ^ -9 or one billionth of a meter.
Does MN equal NM?
If M and N represent numbers and are to be multiplied, it doesn't matter if you multiply NM or MN. Just think, 7x8 and 8x7 still = 56.
Why is anything to the 0th power 1?
This is actually a defined value.nm can be defined as a recursive function:nm = n * nm-1 for n,m > 0If we follow this definition, we will always come to m = 0, so a value must be defined for n0. The logical choice is n0 = 1, since it will always make our definition hold true.-----------------------------------------------------------------------------------------------------The work above is not mine, I'm in no way correcting this work rather enforcing and elaborating it by giving an example to make it easier to understand (hopefully). As above nm can be reworked:nm = n * nm-1for an example let's use 23(n=2 and m=3). using the recursive function we have : 23= 2*23-1......23 is 8 so the other side of the equation should also give us 8 which it does because 2*23-1 or 2*22 or 2*4 =8although it is simple enough to solve 23 without using the recursive function we now understand the logic and see it works (which always helps me) and can now use this function to understand why a # to the 0th power =1.So now for an example we'll use: 20(n=2, m=0) using the recursive function we have 20 = 2*20-1 ; so even not knowing 20 we do know that solving the other side of the equation will give us the answer so: 2*20-1 or 2*2-1 or 2*1/2 = 1. So we know that 20=1this can be applied with any base number to discover that anything to the 0th power is in fact 1..hope that helped-----------------------------------------------------------------------------------------------------The above works aren't mine, I'll try to offer the most simple explanation possibleFirst, let's ask how do we end up with n0?As the rules of indices defines, nm/nm = nm-m = n0, while the fraction itself, if we do not subtract their indices, can be simplified from nm/nm to 1/1, because we have cancelled out the same nm at both numerator and denominator, and if you know your divisions, 1 divided by 1 is 1, therefore we have come to the conclusion n0 = 1.
Do you have to combine your husband income if you file for childsupport in nm?
Yers, both of you are responsible for your children.
How many 10nm cubes fit into a 1 cm cube?
Conversion Factors:1 meter (m) = 109 nanometers (nm)1 m = 102 centimeters (cm)Conversion Factors can be written as a fraction, with one side of the formula in the numerator (top) and one side in the denominator (bottom).Example: ( 1 m / 109nm ) or ( 109nm / 1 m )Combine the conversion factors in a way, so that meters cancel out, because we don't have meters in the initial problem. Units can cancel, just like any other factor using a fraction.( 109nm / 1 m ) x ( 1 m = 102cm ) = 109nm / 102cm = 107 nm / cmThis translates to: 1 cm = 107 nmConvert either unit into the other, using thederivedconversion factor we just came up with. I'm going to convert the 10 nm into cm's because it's easier.10 nm x ( 1 cm / 107nm ) = 10 / 107 nm = 1 / 106 nm = 10-6 nmNote: You can move a number raised to an exponent from the numerator to the denominator, or the other way, as long as the polarity of the power changes. Polarity is just negative or positive. This was an optional step, I did it because it just is easier than expressing a fraction.Now Volume of a Cube, is going to be side cubed: V = s3Volume of small cubes = (10-6cm)3 = 10-18cm3Volume of the larger cube = (1 cm)3 = 1 cm3To figure out how many cubes fit into the larger cubes, divide the volume of the larger cube by the volume of a single smaller cube. The units cancel out, which makes sense because this is a "counting number", that is, you really don't say I have 3 second apples, you just say I have 3 apples.1 cm3/ 10-18cm3= 1018Remember, you can move numbers raised to a power along the numerator and denominator as long as the polarity of the power changes.The answer is 1018 cubes. That's a 1 with 18 zeros following it, orone quintillion.
