To solve the expression $15(a^4)(b^{2/3}) + 8(a^4)(b^{2/3})$, let's simplify it step by step:

Step 1: Factor out the common terms

Both terms in the expression share the same factors of $a^4$ and $b^{2/3}$. So, we can factor those out:

$15(a^4)(b^{2/3}) + 8(a^4)(b^{2/3}) = (a^4)(b^{2/3}) \left( 15 + 8 \right)$

Step 2: Simplify the constants inside the parentheses

Now, add the constants 15 and 8:

$(a^4)(b^{2/3}) \cdot 23$

Final Simplified Expression:

$23(a^4)(b^{2/3})$

So, the simplified form of the expression is $23(a^4)(b^{2/3})$.

---

Would you like further details or have any other questions?

Here are 5 related questions:

1. How do you factor terms in algebraic expressions?
2. What are the rules for adding and subtracting exponents?
3. How do you simplify expressions with fractional exponents?
4. How do you multiply polynomials with common factors?
5. What is the distributive property in algebra?

Tip:

Always look for common factors when simplifying expressions—it can save you a lot of steps!