diff --git a/velox/functions/prestosql/Arithmetic.h b/velox/functions/prestosql/Arithmetic.h
index 7d3c44d894c4..c352d90b46d6 100644
--- a/velox/functions/prestosql/Arithmetic.h
+++ b/velox/functions/prestosql/Arithmetic.h
@@ -229,7 +229,9 @@ struct PowerFunction {
   template <typename TInput>
   FOLLY_ALWAYS_INLINE void
   call(double& result, const TInput& a, const TInput& b) {
-    result = std::pow(a, b);
+    result = (std::isnan(a) && b != 0) || std::isnan(b) || std::isinf(b)
+        ? std::numeric_limits<double>::quiet_NaN()
+        : pow(a, b);
   }
 };
 
diff --git a/velox/functions/prestosql/tests/ArithmeticTest.cpp b/velox/functions/prestosql/tests/ArithmeticTest.cpp
index 36bffb0c10c9..cdd29db0ddec 100644
--- a/velox/functions/prestosql/tests/ArithmeticTest.cpp
+++ b/velox/functions/prestosql/tests/ArithmeticTest.cpp
@@ -262,9 +262,9 @@ TEST_F(ArithmeticTest, modInt) {
 
 TEST_F(ArithmeticTest, power) {
   std::vector<double> baseDouble = {
-      0, 0, 0, -1, -1, -1, -9, 9.1, 10.1, 11.1, -11.1, 0, kInf, kInf};
+      0, 0, 0, -1, -1, -1, -9, 9.1, 10.1, 11.1, -11.1};
   std::vector<double> exponentDouble = {
-      0, 1, -1, 0, 1, -1, -3.3, 123456.432, -99.9, 0, 100000, kInf, 0, kInf};
+      0, 1, -1, 0, 1, -1, -3.3, 123456.432, -99.9, 0, 100000};
   std::vector<double> expectedDouble;
   expectedDouble.reserve(baseDouble.size());
 
@@ -279,6 +279,30 @@ TEST_F(ArithmeticTest, power) {
       "pow(c0, c1)", baseDouble, exponentDouble, expectedDouble);
 }
 
+TEST_F(ArithmeticTest, powerNan) {
+  std::vector<double> baseDouble = {1, kNan, kNan, kNan};
+  std::vector<double> exponentDouble = {kNan, 1, kInf, 0};
+  std::vector<double> expectedDouble = {kNan, kNan, kNan, 1};
+
+  // Check using function name and alias.
+  assertExpression<double>(
+      "power(c0, c1)", baseDouble, exponentDouble, expectedDouble);
+  assertExpression<double>(
+      "pow(c0, c1)", baseDouble, exponentDouble, expectedDouble);
+}
+
+TEST_F(ArithmeticTest, powerInf) {
+  std::vector<double> baseDouble = {1, kInf, kInf, kInf};
+  std::vector<double> exponentDouble = {kInf, 1, kNan, 0};
+  std::vector<double> expectedDouble = {kNan, kInf, kNan, 1};
+
+  // Check using function name and alias.
+  assertExpression<double>(
+      "power(c0, c1)", baseDouble, exponentDouble, expectedDouble);
+  assertExpression<double>(
+      "pow(c0, c1)", baseDouble, exponentDouble, expectedDouble);
+}
+
 TEST_F(ArithmeticTest, powerInt) {
   std::vector<int64_t> baseInt = {9, 10, 11, -9, -10, -11, 0};
   std::vector<int64_t> exponentInt = {3, -3, 0, -1, 199999, 77, 0};