Exponent Rules Flashcards
1 to any power
1
0 to any power
0
Fractions to any power
Distribute the power to numerator and denominator
Compound Base
Distribute power to the product in the base
-1 to the odd power
-1
-1 to the even power
1
Negative base
If negative is inside parentheses, the exponent distributes, if not, exponent does not apply to it
Multiply when common bases
add exponents
Divide when common bases
Subtract
Anything raised to power of 0
1
exception is 0 to power of 0 - undefined
Negative Exponent
1 / same thing with positive exponent
Reciprocal with positive exponent
Nested Exponents (z^2)^3
Multiply Exponents
Factoring out Common Term
If bases are the same and added or subtracted, you can factor out a common term
Any even exponents with an equation with variables
Likely has two solutions (sign is hidden)
Careful if 0,1 or -1 is the base with variables as
outcome of raising these bases to a power is not unique
A square root (or any even root) has how many solutions
1 - the positive solution
A root is equivalent to
Fractional Exponent
Simplifying Roots
Only with multiplication or division - can split into separate factors or combine factors;
Cannot split by addition or subtraction - must first take care of the addition or subtraction and then solve
