Distributing the exponent over a sum(a + b)m/n is not equal to am/n + bm/n.
Confusing a negative exponent with a negative number8−1/3 = 1/2, not −2.
Misreading the fraction82/3 means (∛8)2 = 4, not 82 ÷ 3.
Using root laws on negative numbers carelesslythe square root of a negative number is not a real number.