diff --git a/S32-num/power.t b/S32-num/power.t
index 3136cd0026..b8278e4461 100644
--- a/S32-num/power.t
+++ b/S32-num/power.t
@@ -2,7 +2,7 @@ use v6;
 
 use Test;
 
-plan 43;
+plan 50;
 
 # Real **
 is(0 ** 0,    1, "0 ** 0 ==  1");
@@ -12,6 +12,16 @@ is(4 ** 0,    1, "4 **  0 ==  1");
 is(4 ** 1,    4, "4 **  1 ==  4");
 is(4 ** 2,   16, "4 **  2 == 16");
 
+is 0 ** 4553535345364535345634543534, 0, "0 ** 4553535345364535345634543534 == 0";
+is 1 ** 4553535345364535345634543534, 1, "1 ** 4553535345364535345634543534 == 1";
+#?rakudo 2 todo "Simple bigint optimizations NYI"
+is (-1) ** 4553535345364535345634543534, 1, "-1 ** 4553535345364535345634543534 == 1";
+is (-1) ** 4553535345364535345634543533, -1, "-1 ** 4553535345364535345634543534 == -1";
+is 2 ** 4553535345364535345634543534, Inf, "2 ** 4553535345364535345634543534 == Inf";
+#?rakudo todo "Simple bigint optimizations NYI"
+is (-2) ** 4553535345364535345634543534, Inf, "-2 ** 4553535345364535345634543534 == Inf";
+is (-2) ** 4553535345364535345634543533, -Inf, "-2 ** 4553535345364535345634543534 == -Inf";
+
 is(4 ** 0.5,  2, "4 ** .5 ==  2");
 is(4 ** (1/2), 2, "4 ** (1/2) == 2 ");
 is(4 ** (-1/2), 0.5, "4 ** (-1/2) == 1/2 ");