Question

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? n =.

Answer 1

The product of the given expression is $1. 8166 \times 10^{-2}$.

The value of n in the scientific notation of the product is -2.

Given

The product of $5.86 \times 10^{-7}$ and  $3.1 \times 10^4$.

What is scientific notation?

Scientific notation is a method of expressing numbers in terms of a decimal number between 1 and 10, but not 10 itself multiplied by a power of 10.

To find the product of the numbers multiplies the terms following all the steps given below.

• Step1; Write the expression:

                   $(5.86 \times 10^{-7} )\times (1 \times 10^4)$

• Step2; Rearrange the expression:

                    $(5.86 \times 3.1)\times (1 0^{-7}\times 10^4)$

• Step3; Multiply the coefficients:

                   $(5.86 \times 3.1)\times (1 0^{-7}\times 10^4)\\\\(18. 166)\times (10^{-7} \times 10^4)$

• Step4; Apply the product of powers:

                    $18. 166 \times 10^{-3}$

• Step5; Write in scientific notation:

                    $1. 8166 \times 10^{-2}$

Hence, the value of n in the scientific notation of the product is -2.

To know more about Scientific notation click the link given below.

https://brainly.com/question/26371869

Answer 2

Answer:

n=-2

Step-by-step explanation:

Got it right on the assignment