Question

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

Answer 1

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

Answer 2

Option B is correct.

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.