College Prep Sheet - Section 5a - Getting Ready For Chapter 5 Page 2
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3EXAMPLES:
Simplify each expression
Remember to deal with the coefficients separately.
Product Rule:
A)
B)
Coefficients (numbers) are divided, exponents are subtracted.
Quotient Rule:
C)
D)
Zero Exponent Rule: Anything with an exponent of zero should be changed to a 1
E)
F)
Move ONLY the variable that the exponent is attached to. If it’s outside
Negative Exponent Rule:
parentheses, move everything within the parentheses.
G)
H)
I)
J)
Power Rule: If you raise a power to a power, you are multiplying it by itself, therefore, you must raise any
coefficient to the power outside the parentheses, and multiply all exponents.
K)
L)
M)
N)
O)
P)
SCIENTIFIC NOTATION. A number is written in scientific notation when it is in the form
where
and
is an integer.
To change a decimal to scientific notation:
Step 1:
Count the number N of decimal places that the decimal point must be moved in order to get
only one digit ( ) in front of the decimal.
Step 2:
If you had to move the decimal to the left (you started with a large number), then your
exponent is positive (
). If you had to move the decimal to the right (you started
with a decimal), then your exponent will be negative (
.
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