(x^3 X X^2)^5

Jasonbradley

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Jun 17, 2024

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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.