%5E2.jpeg "(5ab^2)^2")
Understanding (5ab^2)^2
This expression involves a combination of exponents and multiplication. Let's break it down step-by-step to understand how to simplify it.
What does the exponent mean?
The exponent 2 in the expression means that we are multiplying the base, (5ab^2), by itself twice.
Simplifying the expression
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Expand the expression: (5ab^2)^2 = (5ab^2) * (5ab^2)
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Multiply the coefficients: 5 * 5 = 25
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Multiply the variables: a * a = a^2, and b^2 * b^2 = b^4
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Combine the results: 25a^2b^4
Final answer
Therefore, the simplified expression of (5ab^2)^2 is 25a^2b^4.
Key takeaways
- Exponent rule: When raising a product to a power, each factor inside the parentheses is raised to that power.
- Simplifying expressions: Breaking down complex expressions step-by-step allows for a clearer understanding and easier simplification.