diff --git a/src/main/kotlin/ModularExponentiation.kt b/src/main/kotlin/ModularExponentiation.kt
new file mode 100644
index 0000000..41854ce
--- /dev/null
+++ b/src/main/kotlin/ModularExponentiation.kt
@@ -0,0 +1,19 @@
+fun modularExponentiation(base: Long, exponent: Long, mod: Long): Long {
+    var result = 1L
+    var b = base % mod
+    var e = exponent
+    while (e > 0) {
+        if (e % 2 == 1L) {
+            result = (result * b) % mod
+        }
+        b = (b * b) % mod
+        e /= 2
+    }
+    return result
+}
+
+// Test main function
+fun main() {
+    println("3^13 % 7 = ${modularExponentiation(3, 13, 7)}")  // Output: 3
+    println("5^117 % 19 = ${modularExponentiation(5, 117, 19)}") // Output: 1
+}