To solve the equation a^2 = 100 using the power principle of equality, we can take the square root of both sides of the equation. However, it is important to consider both the positive and negative square root since either value can satisfy the equation.
Taking the square root of both sides:
√(a^2) = √100
Simplifying:
|a| = 10
Therefore, the solution to the equation a^2 = 100 is a = 10 or a = -10.
The power principle of equality would be used to solve the equation a2 = 100.
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