Question

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

Answer 1

Answer:

Option B is correct.

Step-by-step explanation:

$10^{(3/4)x}$

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

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

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

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

Option B is correct.

Answer 2

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

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

Then, we have the following expression:

$(10) ^ {\frac{3} {4} x}$

So, in an equivalent way we have:

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

Answer:

Option b