Which is equivalent to (10)^(3/4)x?

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