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Simplifying the Expression (3a³b³)(5ab²)²
This article will guide you through simplifying the expression (3a³b³)(5ab²)².
Understanding the Expression
The expression involves:
- Multiplication of terms: We have two terms, (3a³b³) and (5ab²)², being multiplied together.
- Exponents: Both terms have exponents, indicating repeated multiplication of variables.
Simplifying the Expression
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Simplify the second term:
- (5ab²)² = (5ab²)(5ab²) = 25a²b⁴
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Multiply the simplified terms:
- (3a³b³)(25a²b⁴) = 75a⁵b⁷
Final Result
Therefore, the simplified form of the expression (3a³b³)(5ab²)² is 75a⁵b⁷.
Key Points
- Remember the rules of exponents: When multiplying exponents with the same base, add the powers.
- Simplify each term individually: Before multiplying the terms, simplify any exponents or parentheses.
- Combine like terms: After multiplying, combine any coefficients and variables with the same powers.
By following these steps, you can confidently simplify expressions like this one.