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Question 9.7: Give regular expressions with exponentiation that generate t...

Give regular expressions with exponentiation that generate the following languages over the alphabet {0,1}.
a. All strings of length 500
b. All strings of length 500 or less
c. All strings of length 500 or more
d. All strings of length different than 500

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(a) \Sigma ^{500}; (b) (\Sigma \cup \epsilon )^{500}; (c) \Sigma ^{500}\Sigma ^{*}; (d) (\Sigma \cup \epsilon )^{499}\cup\Sigma ^{501}\Sigma ^{*}.

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