Algebra -- Exponent

Exponents

Powers

X⁰ = 1, X is not equal to 0.

X¹ = X

X^(-a) = 1/X^a

X^aX^b = X^a+b

(XY)^a = X^aY^a

(X^a)^b = X^ab

X^a/X^b = X^(a-b), X is not equal to 0.

(X/Y)^a = X^a/Y^a, X and Y are not equal to 0.

(X/Y)^a = X^a/Y^a

X^1/b =

,the bth root of X

X^a/b =

, the bth root of X raised to the a

Logarithm

log_b(1) = 0

log_bb = 1

log_b (x × y) = log_b(x) + log_b(y)

log_b(x/y) = log_b(x) - log_by

log_b(xⁿ) = n log_b(x)

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