Final answer:
To simplify the expression 8p⁴× 5p, multiply the coefficients to get 40, and add the exponents of p, giving a simplified expression of 40p⁵.
Step-by-step explanation:
The expression given is 8p4 × 5p. To simplify such expressions, we apply the rule xpxq = x(p+q), which means you multiply the coefficients (numerical parts) and add the exponents of like bases. Simplifying the given expression:
- Multiply the coefficients with 8 and 5 to get 40.
- Add the exponents of the variable p. Since p4 has an exponent of 4 and p is the same as p1, their exponents add up to 4 + 1 = 5.
Therefore, the simplified expression is 40p5.