What is the product of 5.86 × 10–7 and 3.1 × 104 1. Write the expression: (5.86 × 10–7)(3.1 × 104) 2. Rearrange the expression:

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What is the product of 5.86 × 10–7 and 3.1 × 104 1. Write the expression: (5.86 × 10–7)(3.1 × 104) 2. Rearrange the expression:

(5.86 × 3.1)(10–7 ∙ 104) 3. Multiply the coefficients: (18.166)(10–7 ∙ 104) 4. Apply the product of powers: 18.166 × 10-3 5. Write in scientific notation: 1.8166 × 10n What is the value of n in the scientific notation of the product?

Mathematics

2 answers:

babunello [11.8K] · Answer 1 · 2026-04-11T19:01:48+03:00

Answer:

-2

Step-by-step explanation:

1. Begin by writing the expression: (5.86 × 10–7)(3.1 × 104)

2. Rearrange the expression: (5.86 × 3.1)(10–7 ∙ 104)

3. Calculate the coefficients: (18.166)(10–7 ∙ 104)

4. Use the product of powers rule: 18.166 × 10-3

5. Write in scientific notation: 1.8166 × 10n

after completing these steps, n equals negative two

babunello [11.8K] · Answer 2 · 2026-04-11T19:03:41+03:00

Answer:

The exponent value of the base 10 for this multiplication is -2.

Step-by-step explanation:

$5.86\,\,10^{-7}\,\,*\,\,3.1\,\,10^4=18.166\,\,10^{-7+4}=18.166\,\,10^{-3}$

To express this number in scientific notation, we must adjust the coefficient 18.166 to be between 1 and 10 by either dividing or multiplying by powers of 10. To reduce it down to 1.8166, dividing the original 18.166 by ten is required, which leads us to do this without altering the number (by multiplying and dividing by ten simultaneously):

$\frac{18.166\,\,10}{10} \,10^{-3}=1.8166\,*\,10\,*\,10^{-3}=1.8166\,\,10^{-2}$