%5E5.jpeg "(x^3 X X^2)^5")
Simplifying (x³ × x²)^5
This expression involves several exponent rules, which we'll use to simplify it.
Step 1: Simplify the expression inside the parentheses
- Rule: When multiplying exponents with the same base, you add the powers.
- Applying the rule: (x³ × x²) = x^(3+2) = x⁵
Step 2: Apply the exponent outside the parentheses
- Rule: When raising a power to another power, you multiply the exponents.
- Applying the rule: (x⁵)⁵ = x^(5*5) = x²⁵
Conclusion
Therefore, the simplified form of (x³ × x²)^5 is x²⁵.