Exponents and Scientific Notation
Scientific Notation
A number is written in scientific notation when it is represented as the product of a factor and a power of 10. The factor must be greater than or equal to 1 and less than 10 .
Dividing Powers with the SAME Base
Always subtract the exponent of the divisor (denominator) from the exponent of the dividend (numerator)
Adding and Subtracting Numbers in Scientific Notation
Find the sum or difference. Write your answer in scientific notation
Multiplying Powers with the SAME Base
Keep the base and add the exponents then simplify
Writing Numbers in Scientific Notation
Step 1: Move the decimal point so it is located to the right of the leading nonzero digit. Step 2: Count the number of places you moved the decimal point. This indicates the exponent of the power of 10, as shown below.
Writing Numbers in Standard Form
The absolute value of the exponent indicates how many places to move the decimal point.
Exponent
The exponent of a power indicates the number of times the base is used as a factor
Quotient of Powers Property
To divide powers with the same base, subtract their exponents
Power of a Power Property
To find a power of a power, multiply the exponents
Power of a Product Property
To fond a power of a product, find the power of each factor and multiply
Product of Powers Property
To multiply powers with the same base, add their exponents
Power
is a product of repeated factors
Base
the base of a power is the common factor