Question

Error Analysis  Your teacher asks the class to evaluate the expression left parenthesis 2 squared right parenthesis Superscript 1. Your classmate gives an incorrect answer of 8. Evaluate the expression. Then find the likely error.
Question content area bottom
Part 1
Evaluate.
left parenthesis 2 squared right parenthesis Superscript 1equals
  
enter your response here ​(Type a whole​ number.)

Answer 1

(2^2)^1 = 4.

Likely error: your classmate probably (incorrectly) used (a^b)^c = a^(b + c) instead of the correct rule (a^b)^c = a^(b·c), so they computed 2^(2+1) = 2^3 = 8.