(4/5a^2)^2

2 min read Jun 16, 2024
(4/5a^2)^2

Simplifying (4/5a^2)^2

The expression (4/5a^2)^2 represents squaring the entire fraction 4/5a^2. To simplify this expression, we need to apply the power rule for exponents, which states that (a/b)^n = a^n/b^n.

Step 1: Apply the Power Rule

Applying the power rule, we get: (4/5a^2)^2 = 4^2 / (5a^2)^2

Step 2: Simplify the Exponents

Squaring both the numerator and denominator, we get: 4^2 / (5a^2)^2 = 16 / (25a^4)

Step 3: Final Result

Therefore, the simplified form of (4/5a^2)^2 is 16 / 25a^4.

Key Points to Remember

  • Power Rule: (a/b)^n = a^n/b^n
  • Squaring a Fraction: To square a fraction, square both the numerator and the denominator.
  • Simplifying Exponents: When dealing with variables raised to exponents, remember that (a^m)^n = a^(m*n).

This simplification demonstrates a fundamental concept in algebra and serves as a building block for more complex expressions.

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