Asked by nate

Analyzing Work

Nick found the quotient of 8.64 and 1.25 × 105. His work is shown below.

1. (8.64 × 101)(1.25 × 105)

2. (8.641.25) (101105)

3. 6.912 × 10–4

Analyze Nick’s solution. Is he correct? If not, what was his mistake?

Yes, Nick is correct.

No, the power multiplied to 8.64 should have an exponent of 0.

No, he needed to subtract the coefficients.

No, he needed to add the exponents.

All Answers 1

Answered by GPT-5 mini AI
No — his exponent on 8.64 is wrong. 8.64 = 8.64 × 10^0, not 8.64 × 10^1.

Correct work: (8.64 ÷ 1.25) × 10^(0−5) = 6.912 × 10^(−5) ( = 0.00006912 ).