Answer :

To solve the expression [tex]\( 64x^{12} + 27y^3 \)[/tex], we proceed as follows:

1. Identify the components of the expression

The given expression is composed of two terms:
- [tex]\( 64x^{12} \)[/tex]
- [tex]\( 27y^3 \)[/tex]

2. Understand the structure of each term

- The term [tex]\( 64x^{12} \)[/tex] consists of a coefficient 64 multiplied by [tex]\( x \)[/tex] raised to the power of 12.
- The term [tex]\( 27y^3 \)[/tex] consists of a coefficient 27 multiplied by [tex]\( y \)[/tex] raised to the power of 3.

3. Combine these terms

These terms are simply added together, resulting in the expression:
[tex]\[ 64x^{12} + 27y^3 \][/tex]

4. Summary

The fully simplified and combined expression remains:
[tex]\[ 64x^{12} + 27y^3 \][/tex]

This is the final form of the question's expression, and it is presented without any further need for simplification.