When using the property If $a = b$ , then $a ^ { n } = b ^ { n }$ , all potential solutions must be checked in the original equation.

Question

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This property, also known as the power of equality property, guarantees that if two quantities are equal, their powers are also equal. However, it does not guarantee that all potential solutions will satisfy the original equation. Therefore, it is necessary to check all potential solutions in the original equation to ensure their validity.

When Using the Property If a=ba = ba=b , Then an=bna ^ { n } = b ^ { n }an=bn

When Using the Property If $a = b$ , Then $a ^ { n } = b ^ { n }$