Select the correct answer.

B

Step-by-step explanation:

when you have a variable and an exponent in a fraction like this problem you subtract from top exponent to the bottom

so...

16r^6 divided by 8r^2 is 2r^4 because 16/8 = 2 and r^6/r^2 = r^4 (take the exponents and subtract from top to bottom: 6-2 =4 and then don't forget to add the variable r to the answer.

s^3/s^6 = s^-3 so it would go to the bottom of the fraction to avoid any negative exponents in the fraction.

none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.