Final answer:
The exponential expression 6x⁵/³ can be rewritten as a radical expression by translating it to 6 * (√x)⁵, which means 6 times the cube root of x to the fifth power.
Step-by-step explanation:
To write the exponential expression 6x⁵/³ as a radical, we need to understand how to convert fractional exponents to radical form. The denominator of the fractional exponent indicates the root, and the numerator tells us the power to which the variable is raised. Thus, the expression 6x⁵/³ can be rewritten as 6 * √xµ, where the cube root symbol (√) represents the root associated with the denominator of the fractional exponent (which is 3 in this case). Now, we apply the property that x² = √x to the expression. Since xµ has an odd power, we do not need to consider absolute values when dealing with real numbers. Therefore, 6x⁵/³ translates to the cube root of x to the fifth power multiplied by 6, which simplifies to 6 * (√x)⁵.