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# Check if a number can be expressed as power in C++

Here we will check whether we can represent a number as power, like a^{b} or not. Suppose a number 125 is present. This can be represented as 5^{3}. Another number 91 cannot be represented as power of some integer value.

## Algorithm

isRepresentPower(num): Begin if num = 1, then return true for i := 2, i2 <= num, increase i by 1, do val := log(a)/log(i) if val – int(val) < 0.0000000001, then return true done return false End

## Example

#include<iostream> #include<cmath> using namespace std; bool isRepresentPower(int num) { if (num == 1) return true; for (int i = 2; i * i <= num; i++) { double val = log(num) / log(i); if ((val - (int)val) < 0.00000001) return true; } return false; } int main() { int n = 125; cout << (isRepresentPower(n) ? "Can be represented" : "Cannot be represented"); }

## Output

Can be represented

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