64 can be represented as 2 to the power of 6, as 2 multiplied by itself 6 times equals 64. Additionally, 64 can also be represented as 4 to the power of 3, as 4 multiplied by itself 3 times also equals 64. These are two different ways to express 64 in terms of powers.
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3^4 or 9^2
In infinitely many ways. However, if you want powers of positive integers only, then you can express 64 as a power of 2, 4, 8 and of 64 itself.
2^6, 4^3, 8^2
It belongs to the set consisting of -64, the set consisting of minus (powers of 2), the set of minus (multiples of 2), the set {2, 3.78, sqrt(99), -64} In fact, it belongs to any set that contains it. And there are infinitely many such sets.
You could write a fraction as a proper, improper or mixed fraction.