Final answer:
To simplify the expression b³/⁷b⁴/⁷, combine the exponents and subtract them. The simplified expression is 7/b.
Step-by-step explanation:
To simplify the expression b³/⁷b⁴/⁷, we can combine the exponents. The rule for dividing exponents with the same base is to subtract the exponents. So, we have b^(3-4)/7, which simplifies to b^(-1)/7. To make the exponent positive, we can rewrite it as 1/b. Therefore, the simplified expression is 1/b*7 or 7/b.