copyrightamberpasillas 2010 For Learning to Happen Remove all
copyright©amberpasillas 2010
For Learning to Happen! • Remove all other thoughts from your mind. • Pay close attention to this lesson. • Try all of the examples. • Ignore all other distractions. copyright©amberpasillas 2010
An exponent consists of a power (the little number to the top right) and a base, the number under the power. Base 3 8 copyright©amberpasillas 2010 Exponent
This exponent is read 8 to the 3 rd power, or 8 cubed. Base 3 8 copyright©amberpasillas 2010 Exponent
An exponent tells how many times a number is multiplied by itself. Base 3 8 copyright©amberpasillas 2010 Exponent
This exponent means 8 • 8 = 512 Base 3 8 copyright©amberpasillas 2010 Exponent
This exponent is read six to the fourth power. Base 6 4 copyright©amberpasillas 2010 Exponent
This exponent is read three to the 2 nd power or three squared. Base 3 2 copyright©amberpasillas 2010 Exponent
Read These Exponents 7 2 nd 2 7 to the power or 7 squared copyright©amberpasillas 2010
Read These Exponents 3 10 rd 3 10 to the power or 10 cubed copyright©amberpasillas 2010
What is the Exponent? 2 • 2= 2 copyright©amberpasillas 2010 3
What is the Exponent? a • a • a = a copyright©amberpasillas 2010 4
What is the Exponent? 3 (bc)(bc) = (bc) NOTICE that you keep the parenthesis around the variables (bc) because you are cubing all the (bc) copyright©amberpasillas 2010
Write the Verbal Phase Power Verbal Phrase Means “Seven to the 2 nd power” “Seven squared” “Five to the 3 rd power” “Five cubed” copyright©amberpasillas 2010
Write the Verbal Phase Power Verbal Phrase “Nine to the 4 th power” “Two to the 5 th power” copyright©amberpasillas 2010 Meaning
How to Multiply Out Exponents 4 3 = 3 • 3 • 3 9 27 81 copyright©amberpasillas 2010
How to Multiply Out Exponents 5 2 = 2 • 2 • 2 4 8 copyright©amberpasillas 2010 16 32
When simplifying exponents you must watch the sign and the parenthesis! 2 6 = 2 2 6 • 6= 36 – 6 (-6) =(-6) = 36 2 = – 6 • 6 = -36 -(6)= -1(6)(6) = -36 copyright©amberpasillas 2010
An exponent is written in exponential form when it is simplified. 2 3 3 a Exponential Form copyright©amberpasillas 2010
An exponent is written in factor form when it is written out. Factor Form 2 3 3 a = 3 • a • a copyright©amberpasillas 2010
Factored Form Exponential Form x • 8 • y • 8 • x a • b • a • 2 2 2 8 x y 2 1 2 a b 3 2 13 p p p r r 13 p r copyright©amberpasillas 2010
Factored Form Exponential Form 5 • x • x (5 x)(5 x) 5 x 3 3 (5 x) = 5 x = 125 x copyright©amberpasillas 2010 3
Factored Form Exponential Form 8(ab) (4 xwy)(4 xwy) 2 = 8 a b 3 3 3 3 2 2 (4 xwy) = 4 x w y = 64 x w y copyright©amberpasillas 2010
Evaluate the expression if x = 3 and y = 4 “Evaluate” mean to solve! copyright©amberpasillas 2010
Evaluate the expression if x = 3 and y = 4 “Evaluate” mean to solve! copyright©amberpasillas 2010
Fractions With Exponents copyright©amberpasillas 2010
Fractions With Exponents copyright©amberpasillas 2010
Fractions With Exponents copyright©amberpasillas 2010
#1 An exponent tells how many times a number is multiplied by itself. Base 3 8 Exponent Factored Form 8 • 8 = 512 Exponential Form 2 3 3 • a • a 3 a 2 1 x • y • x • 2 2 x y copyright©amberpasillas 2010
#2 When simplifying exponents you must watch the sign and the parenthesis! 2 5 (-5) = 2 5 • 5 = 25 =(-5) = 2 – 5 = 2 – (5) • (5) = – 25 25 –(5) = -1(5)(5) = – 25 copyright©amberpasillas 2010
Get ready for some classwork! copyright©amberpasillas 2010
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