The values of a, b, and c in scientific notation are 3.47 x 10^-6, 4.61 x 10^-7, and 5.52 x 10^-7, respectively. complete the following sentences. round so the first factor goes to the hundredths place. 1) a • b in scientific notation is = ? 2) (a/b) in scientific notation is = ? 3) (c/a) in scientific notation is = ? ⬇️answer choices ⬇️ a. 1.60 b. 16.0 x 10^1 c. 16.0 x 10^2 d. 1.59 x 10^13 e. 0.75 x 10^-13 f. 7.53 x 10^-13 g. 7.53 x 10^-14 h. 1.59 x 10^1

a)  1.59967 * 10 ^-12

b)    7.52711497

c)  1.590778098 * 10^-1

Step-by-step explanation:

a= 3.47 x 10^-6,

b=4.61 x 10^-7,

c=5.52 x 10^-7

a)  a*b =  3.47 x 10^-6* 4.61 x 10^-7

We multiply the numbers out front and add the exponents

        (3.47*4.61) * 10^(-6+-7)

        15.9967 * 10^-13

But this is not correct scientific notation, we need 1 number in front of the decimal.  Move the decimal 1 place to the left and add 1 to the exponent

1.59967 * 10^(-13+1)

1.59967 * 10 ^-12

b)   a/b = 3.47 x 10^-6/ 4.61 x 10^-7

We divide the numbers out front and subtract the exponents

        (3.47/4.61) * 10^(-6- -7)

         (3.47/4.61) * 10^(-6+7)

         .752711497* 10^1

But this is not correct scientific notation, we need 1 number in front of the decimal.  Move the decimal 1 place to the right and subtract 1 from the exponent

7.52711497* 10^1-1

7.52711497

c)  c/a = 5.52 x 10^-7/3.47 x 10^-6

We divide the numbers out front and subtract the exponents

        (5.52/3.47) * 10^(-7- -6)

        (5.52/3.47) * 10^(-7+6)

          1.590778098 * 10^-1

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent