Exponents & Roots
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Exponents and Roots
are mirror operations. Exponents
cause a number to be multiplied by
itself to create a productit's a shortcut
for repeated
multiplication. Taking
the root of a product discovers the original
number. 
Powers 
Text 
Video 
Exponent Ops
Onepage summary
sheet of exponent operations that
follow below.
Exponents Expand;
MAD, RAM, MUK, Screen, & Root bees. 
1 page 

Exponents Expand
An exponent (power) expands a base
(bee) to make a product (hive).
2^{3} = 2 × 2 × 2 =
8 


MAD Bees
To multiply bees
with same bases, Merge bases and
Add exponents.
2^{2} × 2^{3}
= 2^{(2+3)} = 2^{5} 


RAM Bees
To Raise a bee to a
power, Multiply exponents.
(2^{2})^{3}
= 2^{(2×3)} = 2^{6} 


MUK Bees
To multiply bees with same powers,
Multiply bases and Keep
exponent.
2^{2} × 3^{2}
= (2×3)^{2} = 6^{2} 


Screen Bees
To change the sign
of an exponent, fly bee through
fraction bar “screen” to lose/gain
negative “antenna.”
Also:
Flip Popsicle Bees
2^{3} = 1/2^{3}
; (2/3)^{4} = (3/2)^{4} 


Root
Bees
Numerator = Power;
Denominator = Root.
4^{3/2} =
√4^{3} 


Roots 
Text 
Video 
Square Roots
What is a Square (tooth)? What is a Square
Root (root of tooth)? Extracting a Square Root
(dentist).
Perfect Squares. Table of Perfect
Squares. NonPerfect Squares.
Estimating Roots of NonPerfect
Squares. 
1 page 

Manual Square Roots
Square Sir, TDAM Sir!
Use this algorithm, similar to
long division, to manually find
square roots when you don't have a
calculator. 

