diff --git a/Bit-manipulationTechniques/FastExponentiation/main.py b/Bit-manipulationTechniques/FastExponentiation/main.py
new file mode 100644
index 0000000..203adf2
--- /dev/null
+++ b/Bit-manipulationTechniques/FastExponentiation/main.py
@@ -0,0 +1,24 @@
+def fast_exponentiation(a: int, n: int):
+    ans = 1
+
+    while n > 0:
+        last_bit = n & 1
+
+        if last_bit:
+            ans *= a
+
+        a *= a
+        n = n >> 1
+
+    return ans
+
+
+def main():
+    a = int(input())
+    n = int(input())
+
+    print(fast_exponentiation(a, n))
+
+
+if __name__ == "__main__":
+    main()