Question

Error Analysis  Your friend says that the product of 1.3 times 10 Superscript 6 and 4 times 10 Superscript negative 4 is 5.2 times 10 Superscript negative 2. What is the correct​ product? What mistake did your friend likely​ make?
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Part 1
left parenthesis 1.3 times 10 Superscript 6 right parenthesis left parenthesis 4 times 10 Superscript negative 4 right parenthesisequals
  
enter your response here
​(Use scientific notation. Use the

Answer 1

(1.3 × 10^6)(4 × 10^−4) = (1.3·4) × 10^(6 + (−4)) = 5.2 × 10^2 = 520.

Your friend likely made an exponent sign/error — they wrote 10^−2 instead of 10^2. (When multiplying powers of 10, add the exponents: 6 + (−4) = 2.)