Upload
rodger-collins
View
215
Download
0
Embed Size (px)
DESCRIPTION
3 ways to write exponents Exponential Form Factored Form Standard Form x 10 x 10 1,000 1, x 6 x 6 x 6 x 6 100,000 5x5x5x5x5x5x5x5x51,953, , x10x10x10x10
Citation preview
Powers and Laws of Powers and Laws of ExponentsExponents
SWBAT write the standard form for numbers that are SWBAT write the standard form for numbers that are given in exponential form; write the exponential form given in exponential form; write the exponential form
for numbers that are given in standard form; apply the for numbers that are given in standard form; apply the multiplication and division laws of exponents; identify multiplication and division laws of exponents; identify
the value of a number to the zero power; simplify the value of a number to the zero power; simplify expressions with exponents.expressions with exponents.
DefinitionsDefinitions
Exponent – tells you how many times a Exponent – tells you how many times a number is used as a factor (how many number is used as a factor (how many times you multiply it)times you multiply it)
Base – The factor (number) being Base – The factor (number) being multipliedmultiplied
3 ways to write exponents3 ways to write exponents
Exponential Exponential FormForm
Factored FormFactored Form Standard FormStandard Form
101033 10 x 10 x 1010 x 10 x 10 1,000 1,000
5599
6 x 6 x 6 x 6 x 6 6 x 6 x 6 x 6 x 6
100,000 100,000
5x5x5x5x5x5x5x5x5 1,953,125
65 7,776
105 10x10x10x10x10
Write each in simplest exponential Write each in simplest exponential formform
6 · 6 · 6 · 7 · 76 · 6 · 6 · 7 · 7 -1(-1)(-2)(-3)(-3)-1(-1)(-2)(-3)(-3) 2 · 2 · 2 · 2 · 2 · 2 · 22 · 2 · 2 · 2 · 2 · 2 · 2 10 · 10 · 10 · 10 · 10 · 10 · 10 · 1010 · 10 · 10 · 10 · 10 · 10 · 10 · 10
Multiplying ExponentsMultiplying Exponents
When they have the same base, keep the When they have the same base, keep the base number and add the exponentsbase number and add the exponents 2 · 22 · 222 · 2 · 244
55 · 5· 533
141466 · 14 · 1488
Dividing ExponentsDividing Exponents
When dividing exponents with the same When dividing exponents with the same base, keep the base and subtract the base, keep the base and subtract the exponents.exponents. 101099 ÷ 10 ÷ 1055
131388 ÷ 13 ÷ 1322
__5566__ 5522