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Simplify the expression

625^-3/4

Thanks for your help

The powers of 5 are 5, 25, 125, 625 ... so it is 5^4.

When we take 625^(1/4), this is 5.

The problem can be rewritten as (625^(1/4))^-3.

Using what I just said, that is the same as 5^-3.

When the power is negative, it moves it from the numerator to the denominator,

so it is 1/5^3. Looking back at the list, 5^3 = 125, so that is 1/125.

Algebra

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