Respuesta :

Answer:

Option B is correct.

Step-by-step explanation:

[tex]10^{(3/4)x}[/tex]

We need to write the above equation in square root form.

We know that 1/4 = [tex]\sqrt[4]{x}[/tex]

So, [tex]10^{(3/4)x}[/tex] can be written as:

[tex](\sqrt[4]{10})^{3x}[/tex]

Option B is correct.

For this case we have that by definition of properties of powers and roots it is fulfilled:

[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]

Then, we have the following expression:

[tex](10) ^ {\frac{3} {4} x}[/tex]

So, in an equivalent way we have:

[tex](\sqrt [4] {10}) ^ {3x}[/tex]

Answer:

Option b