Question

Which is equivalent to 16 ¾x ?
⁴sqrt16 ³x
⁴x sqrt16³
³sqrt16⁴x
³xsqrt16⁴​

Answer 1

For this case we must find an expression equivalent to:

`16 ^ {\frac {3x} {4}}`

By definition of properties of powers and roots we have:

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

Then, we can rewrite the expression as:

`\sqrt [4] {16 ^ {3x}}`

Answer:

`\sqrt [4] {16 ^ {3x}}`