Question

Which is equivalent to 16 ¾x ?⁴sqrt16 ³x⁴x sqrt16³³sqrt16⁴x³xsqrt16⁴​

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:

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