Compute the following powers and give your answer in the form a+bi. Use the square root symbol 'WJ' where needed to give an exact value for your...

Compute the following powers and give your answer in the form a + bi. Use the square root symbol where needed to give an exact value for your answer. You may leave powers of real numbers in exponent form, e.g. '211'.

a) (1+(sqrt(3)i)13 = ?

b) (1/sqrt(2))+(1/sqrt(2)i)31 = ?

Please see below image for better formatting, thank you for your help.