Simplify each expression. Use only positive exponents.
(2r^-1 s^2 t^0)^-2 /2rs
Note: I left a space in the parenthesses so that you
would know that 2r^-1, s^2 and t^0 are in the
parenthesses.
Give every factor an exponent of 1 if none shows
We divide top and bottom by
We know that
equals 1, so
We can dispense with the 1
Now we use the rule for getting rid of negative
exponents. The rules are:
1. If a factor of the numerator has a negative
exponent, then eliminate base and exponent
from the numerator, and place a factor which
has the same base but the opposite signed,
i.e., positive exponent, as a factor of the
denominator.
2. If a factor of the denominator has a negative
exponent, then eliminate base and exponent
from the denominator, and place a factor which
has the same base but the opposite signed,
i.e., positive exponent, as a factor of the
numerator.
We need the first rule to eliminate the
from the numerator and place
in the
denominator.
Next we add the exponents of r in the denominator, i.e.
=
=
Finally subtract the exponents of s, 2-1 = 1,
or just
Edwin