Simplify the expression (x(3/2)^(4/3)(√x)/x)
To simplify the expression (x(3/2)^(4/3)(√x)/x), let's break it down step by step:
Step 1: Simplify the exponent expression (3/2)^(4/3):
To simplify this exponent expression, we can use the property that says (a^m)^n = a^(m*n). Applying this property, we have:
(3/2)^(4/3) = (3/2) * (4/3)
= (12/6)
= 2
Step 2: Simplify the remaining expression:
(x * 2 * (√x) / x)
Step 3: Cancel out the x terms:
After canceling out the x terms, we are left with:
2 * (√x)
Therefore, the simplified expression is 2√x.