Final answer:
To rewrite the expression b³/⁴×b²/³, combine the exponents of similar bases and simplify to b^(17/12).
Step-by-step explanation:
To rewrite the expression b³/⁴×b²/³, we can simplify by combining the exponents of similar bases. In this case, the base b appears in both terms. When we multiply two terms with the same base, we can add the exponents. So, the expression can be written as b^(3/4 + 2/3). To add the exponents, we need a common denominator.
In this case, the least common multiple of 4 and 3 is 12.
So the expression can be simplified further as b^(9/12 + 8/12).
Adding the fractions, we get b^(17/12).
Therefore, the simplified expression is b^(17/12).