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## Exponents

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**Exponents**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.**Exponents**• An exponent is a little number high and to the right of a regular or base number. 3 8 Exponent Base**Exponents**This exponent is read 8 to the 3rd power, or 8 cubed. 3 8 Exponent Base**Exponents**An exponent tells how many times a number is multiplied by itself. 3 8 Exponent Base**Exponents**This exponent means 8•8•8 = 512 3 8 Exponent Base**Exponents**• This exponent is read • six to the fourth power. Exponent 6 4 Base**Exponents**• This exponent is read three to the 2nd power or three squared. Exponent 3 2 Base**Exponents**Read These Exponents 2 7 7 to the 2nd power or 7 squared**Exponents**Read These Exponents 3 10 10 to the 3rd power or 10 cubed**Exponents**What is the Exponent? 3 2 •2 • 2 = 2**Exponents**What is the Exponent? 4 a a •a • a • a=**Exponents**What is the Exponent? 3 (bc)(bc)(bc) = (bc) NOTICE that you keep the parenthesis around the variables (bc) because you are cubing all the (bc)**Exponents**Write the Verbal Phase Power Verbal Phrase Means “Seven to the 2nd power” “Seven squared” “Five to the 3rd power” “Five cubed”**Exponents**Write the Verbal Phase Power Verbal Phrase Meaning “Nine to the 4th power” “Two to the 5th power”**Exponents**How to Multiply Out Exponents = 3 •3 • 3 •3 4 3 9 27 81**Exponents**How to Multiply Out Exponents = 2 •2 • 2 •2 • 2 5 2 4 8 16 32**#1**Exponents • 3 • 8 • Exponent • An exponent tells how many times a number is • multiplied by itself. • 8•8•8 • = 512 • Base • Factored Form • Exponential Form • 3 • 3 • a • a • a • 32a3 • x • y • x • 2 • 2x2y1**#3**1) 3) 2) 4) Evaluate The Power • To find 54 on my calculator I type in 5 ^ 4 = 625 5 4 = 625 xy 5 4 5 = 625 x 4 = 625 yx Circle the method that works on your calculator!**“Evaluate” mean to solve!**1) 3) 2) 4) Exponents Evaluate the Power**Exponents**Addition: -One-Dimensional Growth “Three added to four” = + 3 4 7 units = + Multiplication: Two-Dimensional Growth “Three times four” or “Three groups of four” + + = 3(4) 4 4 4 12 square units = = + +**Exponents**Exponents: Three-Dimensional Growth “Three to the third power” “Three to the fourth power” 3 3 3**Perimeter**Area Volume Exponents 5 5 5 5 5 5 5 5 5 P = s+s+s+s P = 4s “Five Squared” “Five Cubed” One Dimensional Two Dimensional Three Dimensional**Exponents**The End!!! Check the last slide to make sure your notes are complete**#1**Exponents & Powers • An exponent or power tells how many • times a number is multiplied by itself. 4 Exponent 3 Base “Five to the 2nd power” “Five squared” “Seven to the 3rd power” “Seven cubed”**#2**1) 3) 2) 4) Evaluate The Power