What is equivalent to (3 root 8^1/4 x) ?

The given expression is equivalent to 3 (2^ (3/8)) x.

Step-by-step explanation:

The given expression (3 root 8^1/4 x) can be written as:

3√ (8^ (1/4)) x

we know that 2^3 = 8

= 3√ (2^ (3/4)) x

We know that √x = (x) ^ (1/2)

= 3 (2^ ((3/4) (1/2)) x

Powers multiply with each other, 3*1/4*2 = 3/8

= 3 (2^ (3/8)) x