Rules of exponents & Scientific Notation

The Rules of exponents

The Product of powers Property

• 
• To multiply 2 powers with the same base ,add the exponents

The Quotient Rule

• 
• To divide 2 powers with the same base, subtract the exponent

Negative Exponent Rule

• 
• Any number not equal to 0 raised to a negative power is 1 divided by the same positive power.

Zero Exponent Rule

• 
• Any number not equal to 0, raised to a power of 0 is 1

Power of Product Property

• To multiply 2 numbers with the same exponent, multiply the bases first, then raise the result to the shared power.
• 

Power of Quotient Property

• To divide 2 numbers with the same exponent, divide the bases first, then raise that to the shred power
• 

Scientific Notation

Slide 9

• Regular (RN) Standard way that we write our numbers.
• (ex: Thirty-eight thousand – 38,000)
• Scientific (SN) - Shortened way of writing a large or small number (written as the product of 2 factors)
• Ex: 38,000 can be written in scientific notation as 3.9 x 10^-4

Slide 10

• Regular Notation - If the decimal moves to the left the expnent will be positive
• Scientific Notation - If the decimal moves right the exponent will be negative

Slide 11