Final answer:
To rewrite the expression (cd²)³ using the properties of exponents, cube both the digit term and the exponential term by multiplying their exponents by 3. Thus, the rewritten expression is c³d⁶c⁹d¹⁸.
Step-by-step explanation:
To rewrite the expression (cd²)³ using the properties of exponents, we need to cube both the digit term and the exponential term. First, we cube the digit term, which is cd². To cube cd², we multiply the exponent ² by 3, resulting in c³d⁶. Then, we cube the exponential term, which is ³. Cubing ³ gives us c⁹d¹⁸. So, the rewritten expression is c³d⁶c⁹d¹⁸.