Question

Error Analysis  Your teacher asks the class to evaluate the expression left parenthesis 5 cubed right parenthesis Superscript 1. Your classmate gives an incorrect answer of 625. Evaluate the expression. Then find the likely error.
Question content area bottom
Part 1
Evaluate.
left parenthesis 5 cubed right parenthesis Superscript 1equals
  
enter your response here ​(Type a whole​ number.)

Answer 1

(5^3)^1 = 5^(3·1) = 5^3 = 125.

Likely error: your classmate added the exponents (3+1 = 4) and wrote 5^4 = 625. The correct rule is (a^b)^c = a^(b·c), not a^(b+c).