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Exponent Rules
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Terms in this set (28)
When MULTIPLY exponents with same base, you...
Keep the base and + ADD the exponents.
When you DIVIDE exponents with same base, you...
Keep the base and - SUBTRACT the exponents.
When you see a POWER to POWER exponent problem, you...
Keep the base * MULTIPLY the exponents
Power to a power with coefficients
Raise the coefficient to the power.
Keep the base - multiply the exponents
If you have a base with a negative exponent and make the reciprocal, does the exponent become positive or negative?
Positive
Zero exponent rule means...
Anything raised to the zero power = 1
Negative exponent rule means...
Any number with a negative exponent must be rewritten as a fraction.
What happens to the numerator and the denominator if you make the reciprocal?
The numerator and denominator switch places
Anything to the first power equals...
(for example: 4 to the power of 1 )
That same number!
So...4 to the 1st power equals 1
The large number is called the
base
Anything to the power of 0 will equal
ONE
If you have a base with a negative exponent, make it into it's ...
Reciprocal
Once you make the reciprocal, the negative in the exponent
Disappears!
True or False: Making the reciprocal looks like you're 'flipping' it around?
True!
Same base being MULTIPLIED, then _______________ the exponents
ADD!
Same base being DIVIDED, then _______________ the exponents
SUBTRACT!
An exponent with another exponent right next to it uses the _____________ to _______________ rule
Power to Power!
Is it still power to power if there is only a parentheses between both exponents?
Yes!
If an exponent is on the outside of a set of parenthesis, the exponent gets applied to which number inside?
The exponent gets applied to EVERY BASE INSIDE THE PARENTHESIS!
Power to Power Rule means that JUST the EXPONENTS get...
Multiplied!!!
You ONLY ever multiply the exponents for a ____________ ___ ____________ exponent problem
Power to Power
Do you add or subtract with the Power to Power rule?
NO
The exponent rules of adding, subtracting, or multiplying exponents ONLY works if the BASE is the ______________
SAME
If there is a negative exponent, you make the _________ of the base
Reciprocal
The exponent rules of adding, subtracting, or multiplying exponents ONLY works if the _______________ is the SAME
BASE
If the BASES are different, can you use the exponent rules?
Nope! See the picture? Those are DIFFERENT bases!
True or False: The exponent on the outside of a parenthesis only matters to the base closest to it
False
True or False: If the exponent is OUTside the parenthesis, then every base INside the parenthesis gets the exponent
True!
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