Question

is(-4)^1/2=√-4?
if yes why??

Answer 1

hey mate here we go
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yes it is correct because anything with power 1/2 can be written as sqr root of that and you can also write it
√-4=2i
here I stands for iorta
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hope it helps

Answer 2

yes it's equal bcoz:

$1 \div 2 \: is \: equal \: to \: \sqrt{} \\ so \: { - 4}^{1 \div \:2} = \sqrt{ - 4} = \sqrt{ 4i {}^{2} } = 2i \\ i {}^{2} = - 1 \\ {i}^{4} = 1 \\ hope \: its \: helpful$