Final answer:
To simplify the expression (x¹/⁵ ) / (x¹/²), we can rewrite it as x^(-3/10).
Step-by-step explanation:
To simplify the expression (x¹/⁵ ) / (x¹/²), we can use the property of exponents which states that when we divide two numbers with the same base, we subtract the exponents. In this case, we have x raised to the power of 1/5 in the numerator and x raised to the power of 1/2 in the denominator. Therefore, the expression can be rewritten as x^(1/5 - 1/2), which simplifies to x^(-3/10).