Final answer:
To simplify the expression x^(-5/8) * x^(5/2), add the exponents, resulting in x^(-5/4).
Step-by-step explanation:
To simplify the expression x^(-5/8) * x^(5/2), you can use the law of exponents which states that when you multiply two powers with the same base, you add their exponents. In this case, both x terms have the same base, so you can add the exponents:
x^(-5/8) * x^(5/2) = x^(-5/8 + 5/2) = x^(10/8 - 20/8) = x^(-10/8) = x^(-5/4)
Therefore, the simplified form of the expression is x^(-5/4).
Learn more about Simplifying exponents