The Rules of Exponents and The Negative Value Discussion

1. Explain the difference between -xh and (-x)”, where n is an integer? Give
an example (find specific values for x and
n) where -xh = (-x)” and another
example where
-xh (-x)”
it means when there are parenthesis it is
multiplied by that exact number
depending on the exponent example: (-6)
= ( -6 x -6=36)
with no parenthesis but a negative
number it is multiplied by that number
only and than it is a negative number.
example: -6=(6 x6)=-36
2. State each of the following rules of
exponents and give an example of each
rule to show how the rule is derived. (a)
Product Rule (b) Power Rule (c) Quotient
Rule
Product rule-differentiating problems
where one function is multiplied by
another. you keep the same base and
add the exponents
Power rule-the power rule tells us how
to differentiate expressions of the form x
n x^n xnx, expressions with x raised to
any power): d d xx n = n : xn-1
Quotient rule-where one function is
divided by another.
3. Explain/show why (a + b)2 + a2 + b2.
because of the parenthesis. you have to
consider the F.O.I.L. method.