To simplify the expression, we can factor out a common factor from both terms.
First, let's look at the terms individually:
64/343c^3 can be written as (4/7)(4/7)(4/7)c^3, which simplifies to (4/7c)^3
729/1000d^3 can be written as (9/10)(9/10)(9/10)d^3, which simplifies to (9/10d)^3
Therefore, the expression simplifies to (4/7c)^3 + (9/10d)^3.
To simplify the expression, we can factor out a common factor from both terms.
First, let's look at the terms individually:
64/343c^3 can be written as (4/7)(4/7)(4/7)c^3, which simplifies to (4/7c)^3
729/1000d^3 can be written as (9/10)(9/10)(9/10)d^3, which simplifies to (9/10d)^3
Therefore, the expression simplifies to (4/7c)^3 + (9/10d)^3.