Question

Error Analysis  Your teacher asks the class to evaluate the expression left parenthesis 3 cubed right parenthesis Superscript 1. Your classmate gives an incorrect answer of 81. Evaluate the expression. Then find the likely error.
Question content area bottom
Part 1
Evaluate.
left parenthesis 3 cubed right parenthesis Superscript 1equals
  
27 ​(Type a whole​ number.)
Part 2
What was the likely​ error?
A.
Your classmate added the exponents.
B.
Your classmate multiplied the exponents.
C.
Your classmate divided the exponents.
D.
Your classmate subtracted the exponents.

Answer 1

Part 1: (3^3)^1 = 27.

Part 2: A. Your classmate likely added the exponents. (Correct rule: (a^m)^n = a^(m·n), so (3^3)^1 = 3^(3·1) = 3^3 = 27.)