WarpPI/rules/fractions.rules

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calculation FractionsRule1:
0 / a -> 0
calculation FractionsRule2:
a / 1 -> a
expansion FractionsRule3:
a / a -> 1
expansion FractionsRule4:
(a / b) ^ -1 -> b / a
expansion FractionsRule5a:
(a / b) ^ (-1 * c) -> (b / a) ^ c
expansion FractionsRule5b:
(a / b) ^ -c -> (b / a) ^ c
expansion FractionsRule6:
a ^ -1 -> 1 / a
expansion FractionsRule7a:
a ^ -b -> 1 / a^b
expansion FractionsRule7b:
a ^ (-1 * b) -> 1 / a^b
calculation FractionsRule8a:
(-1 * a) / (-1 * b) -> a / b
calculation FractionsRule8b:
(-1 * a) / (b * -1) -> a / b
calculation FractionsRule8c:
(a * -1) / (-1 * b) -> a / b
calculation FractionsRule8d:
(a * -1) / (b * -1) -> a / b
expansion FractionsRule9a:
(-1 * a) / b -> -1 * (a / b)
expansion FractionsRule9b:
(a * -1) / b -> -1 * (a / b)
expansion FractionsRule10a:
a / (-1 * b) -> -1 * (a / b)
expansion FractionsRule10b:
a / (b * -1) -> -1 * (a / b)
expansion FractionsRule11:
a / (b / c) -> (a * c) / b
expansion FractionsRule12:
(b / c) / a -> b / (c * a)
expansion FractionsRule14a:
(a / b) * (c / d) -> (a * c) / (b * d)
expansion FractionsRule14b:
(a / b) * c -> (a * c) / b
expansion FractionsRule14c:
a * (c / d) -> (a * c) / d
reduction FractionsRule15:
(a / b) ^ 2 -> (a * a) / (b * b)
reduction FractionsRule16:
(a / b) ^ c -> (a ^ c) / (b ^ c)