Final answer:
To simplify the given expression (w⁷/⁸)/(w^³/⁴), we can use the quotient rule of exponents to subtract the exponents with the same base, resulting in w^(1/8).
Step-by-step explanation:
To simplify the given expression (w⁷/⁸)/(w^³/⁴), we can use the quotient rule of exponents. The quotient rule states that when dividing two exponential terms with the same base, we subtract the exponents:
(w⁷/⁸)/(w^³/⁴) = w^(7/8 - 3/4) = w^(7/8 - 6/8) = w^(1/8)
So, the simplified expression is w^(1/8).