Question : While the radical symbol is widely used, converting to rational exponents has advantages.
Explain an advantage of rational exponents over the radical sign.
Include in your answer an example of an equation easier to solve as a rational exponent rather then a radical sign.
Answer : Rational exponents are easier to combine when more than one appears in an expression.
I would say that something like the following would be easier to solve with rational exponents:
The square root of x to the 5th power, all divided by the cube root of x to the fourth power.
When I see this equation, the way to simplify is to change the radicals to rational exponents--x to the 5/2 power divided by x to the 4/3 power--which can be further reduced by subtracting exponents.
Since my first step in that problem is to change the radicals to rational exponents, that seems to 'prove' (in some sense) that rational exponents are easier to work with in this type of problem.
So my 'short answer' is that rational exponents are much easier to work with when I am combining terms with multiplication and division.
Question : Wtf I have a 200 question assignment due tomorrow morning.
I just need help with these 6, please?!
1. Typically, atoms gain or lose electrons to achieve:
a) an exchange of energy.
c) a stable electron configuration.
2. In an electron dot diagram, the symbol for an element is used to represent:
a) the nucleus.
b) the nucleus & all electrons.
c) the nucleus and valence electrons.
d) the nucleus and all non-valence electrons.
3. In the compound ..
Answer : 1. C
2. D the valence electrons are represented with dots
Question : what is exactly the difference between an ion and a free radical? it is confusing because in radiolysis of water for example, hydrated electon :e(aq) is a radical, or we have radicals like superoxide with negative charge...
Answer : first, the number of protons dictates which atom you have. next, if the number of electrons = number of protons, then the atom has a net charge of zero.
if the number of electrons does not equal the number of protons, then the net charge on the atom is not zero. And the atom is now called an ION.
if the atom has an unpaired electron, it is called a free radical. here's some examples....
Cl-. this is chlorine with an extra electron to complete it's outer octet of electrons. chlorine has 17 protons, and if it had 17 electrons, it's net charge would be zero. but, chlorine has relatively high electron affinity and grabs an electron from a neighbor such as sodium to complete it's 8 valence electrons. it is an ion because it's net charge is not zero. it is not a free radical because all electrons are paired
one Cl atom with zero charge. has 17 protons, and 17 electrons. this would exist as a free radical because 1 valence electron would be unpaired... free rad..