Are the following statements true or false? Correct the false ones by changing the right-hand side and write the statements again.

(6) (–5)⁴ = – 625

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Solution

(–5)⁴ = –625
Consider (–5)⁴
= (–5) × (–5) × (–5) × (–5)
= 625 (Product of negative sign is positive if multiplied for an even number of times)
∴ (–5)⁴ = –625 is a false statement.
∴ Correct statement is: (–5)⁴ = 625

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