Question

Express the following as powers of rational numbers. 81/ 625.​

Answer 1

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81 is a square of 9 which in turn is a square of 3.

That is. 3x3x3x3 is equal to 9x9 is equal to 81.

625 is a square of 25 which in turn is a square of 5.

That is 5x5x5x5 is equal to 25x25 is equal to 625.

In most basic form (3/5) raised to power 4 is appropriate.

Or (9/25) raised to power 2 can also work.