Updates:
Labels: NeedsReview
Comment #19 on issue 1434 by fab...@fseoane.net: substitution doesn't work
for sqrt()
http://code.google.com/p/sympy/issues/detail?id=1434
Right. I think the following should be enough
diff --git a/sympy/core/tests/test_numbers.py
b/sympy/core/tests/test_numbers.py
index c93c821..723a889 100644
--- a/sympy/core/tests/test_numbers.py
+++ b/sympy/core/tests/test_numbers.py
@@ -201,6 +201,8 @@ def test_powers_Integer():
assert S(-16) ** Rational(1, 4) == 2 * (-1)**Rational(1,4)
assert S(9) ** Rational(3, 2) == 27
assert S(-9) ** Rational(3, 2) == -27*I
+ assert S(27) ** Rational(2, 3) == 9
+ assert S(-27) ** Rational(2, 3) == 9 * (S(-1) ** Rational(2, 3))
# not exact roots
assert (-3) ** (S(1)/2) == sqrt(-3)
@@ -210,6 +212,8 @@ def test_powers_Integer():
assert (-3) ** (S(7)/2) == - I * 27 * sqrt(3)
assert (2) ** (S(3)/2) == 2 * sqrt(2)
assert (2) ** (S(-3)/2) == sqrt(2) / 4
+ assert (81) ** (S(2)/3) == 9 * (S(3) ** (S(2)/3))
+ assert (-81) ** (S(2)/3) == 9 * (S-(3) ** (S(2)/3))
# join roots
assert sqrt(6) + sqrt(24) == 3*sqrt(6)
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