Bernie Tiede

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P.2 Reading Guide-Math 1111
Exponents and Scientific Notation (pages 20-35)
---------------------------------------------------------------------------------------------------------1. Define the rules for exponents, with an example of each


The Product Rule when multiplying two powers that have the same base, you can add the exponents. Ex:
2^3*2^4= 2^6
 The Quotient Rule this says that to divide two exponents with the same base, you keep the base and subtract the powers. Ex:a^m/a^n= a^m-n


The Zero Exponent Rule basically says that any base with an exponent of zero is equal to one. Ex: b^0 = 1

 The Negative Exponent Rule
. A negative exponent means how many times to divide by the number. Example: 8-1 = 1 ÷ 8 = 1/8
= 0.125.


The Power Rule (Powers to powers) this says that to raise a power to a power you need to multiply the exponents. Ex: (a^m)^n = a^(mn)  The Product to Powers Rule tells us that when you multiply powers with the same base you just have to add the exponents.
Ex:a^m ? a^n = a^(m + n)



The Quotient to Powers Rule when you divide two powers with the same base, you subtract the exponents. a^m/a^n= a^(m-n)

2. List the four conditions for an exponential expression to be considered “simplified:”
a) There are no zero or negative exponents. b) No quotients are raised to powers. c) The same base appears only once in a product or quotient.
d) Numerical coefficients in a quotient do not have any common factor other than 1.

1

3. State the definition of Scientific Notation.
Where a number is written in two parts:
First: just the digits (with the decimal point placed after the first digit),
Followed by: ×10 to a power that will put the decimal point back where it should be.

4. Explain how to convert from Scientific Notation to Decimal Notation, and give an example.
A number in scientific notation…...

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