diff --git a/src/parse.rs b/src/parse.rs
index 01471de..83e475e 100644
--- a/src/parse.rs
+++ b/src/parse.rs
@@ -131,7 +131,7 @@ enum Token {
 enum TokState {
 	Neutral,
 	Number,
-	Unit,
+	Unit(bool),
 }
 
 fn tokenize(input: &str) -> Vec<Token> {
@@ -147,7 +147,7 @@ fn tokenize(input: &str) -> Vec<Token> {
 					state = TokState::Number;
 				} else if !c.is_whitespace() {
 					token.push(c);
-					state = TokState::Unit;
+					state = TokState::Unit(false);
 				}
 			}
 			TokState::Number => {
@@ -157,17 +157,23 @@ fn tokenize(input: &str) -> Vec<Token> {
 					token.push(c);
 				} else {
 					tokens.push(Token::Number(token.trim().to_string()));
-					state = TokState::Unit;
+					state = TokState::Unit(false);
 					token = String::new();
 					token.push(c);
 				}
 			}
-			TokState::Unit => {
-				if c.is_ascii_digit() || c == '-' {
+			TokState::Unit(after_caret) => {
+				if !after_caret && (c.is_ascii_digit() || c == '-') {
 					tokens.push(Token::Unit(token.trim().to_string()));
 					state = TokState::Number;
 					token = String::new();
 					token.push(c);
+				} else if c == '^' {
+					token.push(c);
+					state = TokState::Unit(true);
+				} else if c.is_whitespace() {
+					token.push(c);
+					state = TokState::Unit(false);
 				} else {
 					token.push(c);
 				}
@@ -178,7 +184,7 @@ fn tokenize(input: &str) -> Vec<Token> {
 	match state {
 		TokState::Neutral => { assert!(token.len() == 0); }
 		TokState::Number => { tokens.push(Token::Number(token.trim().to_string())); }
-		TokState::Unit => { tokens.push(Token::Unit(token.trim().to_string())); }
+		TokState::Unit(_) => { tokens.push(Token::Unit(token.trim().to_string())); }
 	}
 
 	tokens
@@ -338,5 +344,31 @@ mod test {
 				Token::Number("2".to_string()),
 			]
 		);
+		assert_eq!(
+			tokenize("ft^2"),
+			vec![
+				Token::Unit("ft^2".to_string()),
+			]
+		);
+		assert_eq!(
+			tokenize("ft^22"),
+			vec![
+				Token::Unit("ft^22".to_string()),
+			]
+		);
+		assert_eq!(
+			tokenize("ft^2 2"),
+			vec![
+				Token::Unit("ft^2".to_string()),
+				Token::Number("2".to_string()),
+			]
+		);
+		assert_eq!(
+			tokenize("ft^2 s^-1 lb 2"),
+			vec![
+				Token::Unit("ft^2 s^-1 lb".to_string()),
+				Token::Number("2".to_string()),
+			]
+		);
 	}
 }