Question

This is my third time posting this bc i kept getting the wrong answer please help me

Answer 1

B

Explanation:

the answer is the letter b

Answer 2

B

Explanation:

So we have:

`\frac{x^{(2)/(3)}}{y^{(-3)/(4)}}`

First, we recall that we can switch an exponent from the denominator to the numerator if we multiply the exponent by -1 and vice versa. Therefore:

`=x^{(2)/(3)}}\cdot {y^{(3)/(4)}`

Now, use the following property:

`a^(x/n)=\sqrt[n]{a^x}`

Therefore:

`x^{(2)/(3)}=\sqrt[3]{x^2}`

And:

`y^{(3)/(4)}=\sqrt[4]{y^3}`

And so together:

`=x^{(2)/(3)}}\cdot {y^{(3)/(4)}\\=\sqrt[3]{x^2}\cdot\sqrt[4]{y^3}`

Our answer is B :)