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Transcript of Teaching Exponents
Exponent- Indicates the number of times a # is to be multiplied by itself (power)
Rules of exponents
X - Anything raised to "1" will equal itself (Base #)
5 = 5
A # that is to be raised to a power
Number that tells how many times to multiply
Cubed: a number that has an exponent of 3
Squared: a number that has a exponent of 2
Factor form: When the numbers are expanded out
4 = 4 x 4 x 4
Exponent form: when you only see the base number and power
- Anything raised to "0" will equal 1
6 = 1
When multiplying, if the bases are the same then the exponents can be added.
4 x 4 = 4 = 4
standard form: the answer
4 = 64
When dividing,if the bases are the same then the exponents can be subtracted
Expand, and make sure your following the order of operations
(x ) = (xx) =(xx)(xx)(xx)(xx)(xx)=x
Think of distribution and distribute the exponent to both variables.
(xy) = x y
A negative exponent means, that the exponet is on the wrong side of the fraction line, so you take the reciprocal to make it even (flip, divide)
Bases that are (-) and have a even exponent will have a (+) answer
-4 = (-4)*(-4)=16
Bases that are (-) and have a odd exponent will have a (-) answer
-5 = (-5)* (-5)* (-5)= -125
Cards of Exponents