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.