here are three simple rules of exponents
that every student in high school or
college needs to know or at least
remember so let's kind of do a quick
review of them in this first problem I
have X 4th time x to 8th so remember the
rules of exponent State when I have an
exponent with the same base raised to a
power times another exponent with the
same base but to a different Power you
are now going to add the powers but keep
the base the same so in this case I have
x 4 * x 8 since they have the same base
that's going to be an x to the 4 + 8
which is now going to give me a x to the
12th so just remember when you multiply
exponents same base you add the powers
over here now we have y to 20th / y to
18th well with multiplication is
addition then you can kind of think of
division is going to be of subtraction
so again x to the m / X the N is equal
to X the M minus an N so all we're going
to do is subtract the power in the
numerator from the power in the
denominator so in this case I have y to
the 20 - 18 is going to give me y to the
second power remember that quotient or
division be represented by subtraction
the next one is going to be the negative
Powers these two are very important most
students kind of remember them they
don't forget them but the negative
Powers always seems to trick students up
so just remember negative Powers
represent reciprocals so if I have x to
the N that is equal equal to 1/ x to the
postive N if I have 1/ x to the N that
is equal to an x to the positive n so if
you put it over one if you reciprocate
it you're going to go ahead and change
the signs of the power so if I want this
to now be a positive two or that power
to be a positive two all I simply need
to do is understand where it is
initially you can see that this is
initially in the numerator so if I want
that to be a positive two I just now to
need to reciprocate it to 1 over a 5^ s
these are the most basic and common
rules of exponents that you all need to
know
