1. determine if the number is written in scientific notation. if not, explain 32x10^4
a. no; it is not written as a power of 10
b. no; the first factor is not a number between 1 and 10
c. yes; the number is written in scientific notation

2. determine if the number is written in scientific notation. if not, explain 2.01x 10^-5
a. no; it is not written as a power of 10
b. no; the first factor is not a number between 1 and 10
c. yes; the number is written in scientific notation

1)

option b is correct.

2)

Option c is correct.

Step-by-step explanation:

We know that any number is in scientific notation if it could be represented as:

So the number is written in two parts:

1)

32×10^4 is not expressed in scientific notation as the decimal point is not placed after the first digit.

Hence option b is correct.

The number in scientific notation is:

(3.2×10^5)

2)

2.01×10^-5.

Yes, the given expression is in scientific notation as it satisfies the above two rules of number in scientific notation.

Hence, option c is correct.

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.