Raise a Fraction to a Real Power

Interpret numerator / denominator as a positive rational number, then raise it to power. This task returns a real number rather than an exact fraction; it covers the real-exponent part of the Rational Numbers reference.

Implement rational_to_real_power(numerator, denominator, power).

Input

numerator: The positive numerator.

denominator: The positive denominator.

power: The real-valued exponent.

Output

Return (numerator / denominator) raised to power.

制約

1 ≤ numerator, denominator ≤ 100. −6 ≤ power ≤ 6, with at most two decimal places. Answers are accepted within absolute or relative error 0.000001.

例

入力：
power = 0.5
numerator = 9
denominator = 4

期待される出力：
expected = 1.5

入力：
double power = 0.5;
long long numerator = 9;
long long denominator = 4;

期待される出力：
double expected = 1.5;

入力：
double power = 0.5;
long numerator = 9;
long denominator = 4;

期待される出力：
double expected = 1.5;

入力：
power = -1.0
numerator = 2
denominator = 5

期待される出力：
expected = 2.5

入力：
double power = -1.0;
long long numerator = 2;
long long denominator = 5;

期待される出力：
double expected = 2.5;

入力：
double power = -1.0;
long numerator = 2;
long denominator = 5;

期待される出力：
double expected = 2.5;

参考資料

この課題はCodeUtility用に調整されています。上記の説明と制約に従ってください。

• Rational Numbers