Question

Which choice is equivalent to the quotient shown here when x > 0

Answer 1

the answer is c- but its a little confusing because 0 multiplied by anything will always be 0

Answer 2

option B

Explanation:

`√(16x^3) \ divide \ √(8x)`

To find equivalent to the quotient ,lets divide the terms

`(√(16x^3))/( √(8x) )`

Both numerator and denominator have same square root so we take square root in common.

Apply exponential property, a^m divide a^m= a^{m-n)

Subtract the exponents when the base of exponents are same and the exponents are in division. 16 divide by 8 is 2

`(x^3)/(x)=x^(3-1)=x^2`

`\sqrt{(16x^3)/(8x) }`

`√(2x^2)=x√(2)`