Exponents & Roots
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Exponents and Roots
are mirror operations. Exponents
cause a number to be multiplied by
itself to create a product--it's a shortcut
for repeated
multiplication. Taking
the root of a product discovers the original
number. |
Powers |
Text |
Video |
Exponent Ops
One-page summary
sheet of exponent operations that
follow below.
Exponents Expand;
MAD, RAM, MUK, Screen, & Root bees. |
![](MathHandouts/ER-ExponentOps-Thumb.jpg)
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Exponents Expand
An exponent (power) expands a base
(bee) to make a product (hive).
23 = 2 × 2 × 2 =
8 |
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MAD Bees
To multiply bees
with same bases, Merge bases and
Add exponents.
22 × 23
= 2(2+3) = 25 |
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RAM Bees
To Raise a bee to a
power, Multiply exponents.
(22)3
= 2(2×3) = 26 |
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MUK Bees
To multiply bees with same powers,
Multiply bases and Keep
exponent.
22 × 32
= (2×3)2 = 62 |
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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 = 1/23
; (2/3)-4 = (3/2)4 |
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Root
Bees
Numerator = Power;
Denominator = Root.
43/2 =
√43 |
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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. Non-Perfect Squares.
Estimating Roots of Non-Perfect
Squares. |
![](MathHandouts/ER-SquareRoots-Thumb.jpg)
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Manual Square Roots
Square Sir, T-DAM Sir!
Use this algorithm, similar to
long division, to manually find
square roots when you don't have a
calculator. |
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