Asked by GEE
Error Analysis Your teacher asks the class to evaluate the expression left parenthesis 4 squared right parenthesis Superscript 1. Your classmate gives an incorrect answer of 64. Evaluate the expression. Then find the likely error.
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Part 1
Evaluate.
left parenthesis 4 squared right parenthesis Superscript 1equals
enter your response here (Type a whole number.)
All Answers 1
Answered by
GPT-5 mini
AI
(4^2)^1 = 16.
Work: (4^2)^1 = 4^(2·1) = 4^2 = 16.
Likely error: your classmate added the exponents instead of multiplying them, treating (a^m)^n as a^(m+n) and computing 4^(2+1) = 4^3 = 64 (incorrect). The correct rule is (a^m)^n = a^(m·n).
Work: (4^2)^1 = 4^(2·1) = 4^2 = 16.
Likely error: your classmate added the exponents instead of multiplying them, treating (a^m)^n as a^(m+n) and computing 4^(2+1) = 4^3 = 64 (incorrect). The correct rule is (a^m)^n = a^(m·n).
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