0 + X = X
X + 0 = X
0 + 0 = 0
A + 1/C = simpler (except for A == 0)
1/C + A = simpler (except for A == 0)
A/B + 1/C = simpler (except for B == C)
1/C + A/B = simpler (except for C == B)
1/B + 1/C = simpler (except for B == C)
A + A = 2 A
A + (A + ...) = 2 A + ...
... + (P ...) = (1 + P) ...
(P ...) + ... = (P + 1) ...
(P ...) + (Q ...) = (P + Q) * ...
A + (B + C) = (A + B) + C
A + (-B) = A - B = R
(-A) + B = B - A = R
(A C) + (B C) = (A + B) C
(A C) + ((B C) + D) = (A + B) C + D
((A C) + D) + (B C) = (A + B) C + D
(-1) A = -A
A (-1) = -A
A (1 / B) = A / B
(1 / A) B = B / A
(1 / A) (1 / B) = 1 / (A * B)
pow(A, -1) = 1 / A
pow(A, 1 / 2) = sqrt(A)
pow(A, 1 / 3) = cbrt(A)
0^{X} = 0, for X > 0
1^{X} = 1
(-1)^{K} = 1, if K is odd
= -1, if K is even
X^{0} = 1
X^{1} = X
sqrt(X) = Y, if it is possible simplify for given integer X and Y values
X^{Y} = simpler
(A^{B})^{C} = A^{B C}
(A B)^{C} = A^{C} * B^{C}
0 + X = X X + 0 = X 0 + 0 = 0 A + 1/C = simpler (except for A == 0) 1/C + A = simpler (except for A == 0) A/B + 1/C = simpler (except for B == C) 1/C + A/B = simpler (except for C == B) 1/B + 1/C = simpler (except for B == C) A + A = 2 A A + (A + ...) = 2 A + ... ... + (P ...) = (1 + P) ... (P ...) + ... = (P + 1) ... (P ...) + (Q ...) = (P + Q) * ... A + (B + C) = (A + B) + C
A + (-B) = A - B = R
(-A) + B = B - A = R
(A C) + (B C) = (A + B) C (A C) + ((B C) + D) = (A + B) C + D ((A C) + D) + (B C) = (A + B) C + D (-1) A = -A A (-1) = -A A (1 / B) = A / B (1 / A) B = B / A (1 / A) (1 / B) = 1 / (A * B) pow(A, -1) = 1 / A pow(A, 1 / 2) = sqrt(A) pow(A, 1 / 3) = cbrt(A)
0^{X} = 0, for X > 0
1^{X} = 1
(-1)^{K} = 1, if K is odd = -1, if K is even
X^{0} = 1 X^{1} = X sqrt(X) = Y, if it is possible simplify for given integer X and Y values X^{Y} = simpler (A^{B})^{C} = A^{B C} (A B)^{C} = A^{C} * B^{C}