(x^3 X X^2)^5

less than a minute read Jun 17, 2024
(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


Therefore, the simplified form of (x³ × x²)^5 is x²⁵.

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