186:
539:
72:
416:
461:
301:
689:
604:
181:{\displaystyle \scriptstyle \left.{\begin{matrix}\scriptstyle {\text{term}}\,+\,{\text{term}}\\\scriptstyle {\text{summand}}\,+\,{\text{summand}}\\\scriptstyle {\text{addend}}\,+\,{\text{addend}}\\\scriptstyle {\text{augend}}\,+\,{\text{addend}}\end{matrix}}\right\}\,=\,}
344:
534:{\displaystyle \scriptstyle \left.{\begin{matrix}\scriptstyle {\frac {\scriptstyle {\text{dividend}}}{\scriptstyle {\text{divisor}}}}\\\scriptstyle {\frac {\scriptstyle {\text{numerator}}}{\scriptstyle {\text{denominator}}}}\end{matrix}}\right\}\,=\,}
229:
623:
546:
856:
770:
411:{\displaystyle \scriptstyle \left.{\begin{matrix}\scriptstyle {\text{factor}}\,\times \,{\text{factor}}\\\scriptstyle {\text{multiplier}}\,\times \,{\text{multiplicand}}\end{matrix}}\right\}\,=\,}
326:
881:
442:
714:
795:
211:
296:{\displaystyle \scriptstyle \left.{\begin{matrix}\scriptstyle {\text{term}}\,-\,{\text{term}}\\\scriptstyle {\text{minuend}}\,-\,{\text{subtrahend}}\end{matrix}}\right\}\,=\,}
684:{\displaystyle \scriptstyle \left.{\begin{matrix}\scriptstyle {\text{base}}^{\text{exponent}}\\\scriptstyle {\text{base}}^{\text{power}}\end{matrix}}\right\}\,=\,}
599:{\displaystyle \scriptstyle \left\{{\begin{matrix}\scriptstyle {\text{fraction}}\\\scriptstyle {\text{quotient}}\\\scriptstyle {\text{ratio}}\end{matrix}}\right.}
813:
908:
44:
735:
1018:, but usually refers then to one of the common bases: decimal (10), binary (2), hexadecimal (16), or sexagesimal (60). When the concepts of
1183:
901:
37:
1179:
307:
1207:
862:
423:
695:
776:
894:
192:
30:
1023:
1019:
449:
1202:
420:
23:
1008:
strictly refers to the entire expression, but is sometimes used to refer to the exponent.
8:
1027:
1109:
1026:
came to be distinguished, the process of exponentiation was seen to transcend the
1175:
1038:
929:
611:
332:
921:
For number of digits which exist in a numeral system, also called 'base', see
851:{\displaystyle \scriptstyle \log _{\text{base}}({\text{anti-logarithm}})\,=\,}
1196:
1117:
1057:
is a positive integer, then negative, then a fraction, or rational number.
765:{\displaystyle \scriptstyle {\sqrt{\scriptstyle {\text{radicand}}}}\,=\,}
217:
1045:
as a "constant number" in an extensive consideration of the function F(
1121:
801:
1090:
957:
720:
543:
60:
470:
16:(in exponentiation), number b in an expression of the form b^n
1011:
922:
1180:
Chapter 6: Concerning
Exponential and Logarithmic Quantities
1100:. For example, 10 is a fourth root of 10,000. =
629:
592:
467:
350:
235:
78:
960:
and the expression is known formally as exponentiation of
1186:, translated by Ian Bruce (2013), lk from 17centurymaths.
1000:". For example, the fourth power of 10 is 10,000 because
1041:
referred to "base a = 10" in an example. He referred to
866:
817:
780:
742:
739:
699:
653:
635:
632:
627:
581:
570:
559:
556:
550:
507:
500:
497:
483:
476:
473:
465:
427:
377:
356:
353:
348:
311:
262:
241:
238:
233:
196:
147:
126:
105:
84:
81:
76:
865:
816:
779:
738:
698:
626:
549:
464:
426:
347:
310:
232:
195:
75:
875:
850:
789:
764:
708:
683:
598:
533:
436:
410:
320:
295:
205:
180:
1194:
321:{\displaystyle \scriptstyle {\text{difference}}}
876:{\displaystyle \scriptstyle {\text{logarithm}}}
902:
437:{\displaystyle \scriptstyle {\text{product}}}
38:
1184:Introduction to the Analysis of the Infinite
709:{\displaystyle \scriptstyle {\text{power}}}
909:
895:
790:{\displaystyle \scriptstyle {\text{root}}}
45:
31:
846:
842:
760:
756:
679:
675:
529:
525:
406:
402:
387:
383:
366:
362:
291:
287:
272:
268:
251:
247:
206:{\displaystyle \scriptstyle {\text{sum}}}
176:
172:
157:
153:
136:
132:
115:
111:
94:
90:
976:. It is more commonly expressed as "the
1195:
1035:Introductio in analysin infinitorum
13:
14:
1219:
947:
1002:10 = 10 × 10 × 10 × 10 = 10,000
1169:
839:
831:
1:
1162:
1103:
940:in an expression of the form
1159: 10,000 = 4.
1112:to exponentiation with base
1014:is the traditional term for
7:
10:
1224:
920:
808:
800:
730:
719:
618:
610:
456:
448:
339:
331:
224:
216:
67:
59:
1208:Mathematical terminology
1060:
968:or the exponential of
877:
852:
791:
766:
710:
685:
600:
535:
438:
412:
322:
297:
207:
182:
878:
853:
792:
767:
711:
686:
601:
536:
439:
413:
323:
298:
208:
183:
24:Arithmetic operations
863:
814:
777:
736:
696:
624:
547:
462:
424:
345:
308:
230:
193:
73:
1028:algebraic functions
873:
872:
848:
847:
787:
786:
762:
761:
748:
706:
705:
681:
680:
669:
666:
648:
596:
595:
590:
587:
576:
565:
531:
530:
519:
516:
513:
506:
492:
489:
482:
434:
433:
408:
407:
396:
393:
372:
318:
317:
293:
292:
281:
278:
257:
203:
202:
178:
177:
166:
163:
142:
121:
100:
1081:NCR. =
919:
918:
886:
885:
870:
837:
825:
784:
754:
752:
746:
703:
663:
658:
645:
640:
585:
574:
563:
514:
511:
504:
490:
487:
480:
431:
391:
381:
370:
360:
315:
276:
266:
255:
245:
200:
161:
151:
140:
130:
119:
109:
98:
88:
1215:
1187:
1173:
1155:For example, log
1120:) is called the
1110:inverse function
1073:equals a number
1003:
911:
904:
897:
882:
880:
879:
874:
871:
868:
857:
855:
854:
849:
838:
835:
827:
826:
823:
796:
794:
793:
788:
785:
782:
771:
769:
768:
763:
755:
753:
750:
747:
744:
741:
715:
713:
712:
707:
704:
701:
690:
688:
687:
682:
674:
670:
665:
664:
661:
659:
656:
647:
646:
643:
641:
638:
605:
603:
602:
597:
594:
591:
586:
583:
575:
572:
564:
561:
540:
538:
537:
532:
524:
520:
515:
512:
509:
505:
502:
499:
491:
488:
485:
481:
478:
475:
443:
441:
440:
435:
432:
429:
417:
415:
414:
409:
401:
397:
392:
389:
382:
379:
371:
368:
361:
358:
327:
325:
324:
319:
316:
313:
302:
300:
299:
294:
286:
282:
277:
274:
267:
264:
256:
253:
246:
243:
212:
210:
209:
204:
201:
198:
187:
185:
184:
179:
171:
167:
162:
159:
152:
149:
141:
138:
131:
128:
120:
117:
110:
107:
99:
96:
89:
86:
57:
56:
47:
40:
33:
26:
19:
18:
1223:
1222:
1218:
1217:
1216:
1214:
1213:
1212:
1193:
1192:
1191:
1190:
1174:
1170:
1165:
1158:
1143:
1133:
1132:
1127:
1115:
1106:
1099:
1093:
1088:
1084:
1080:
1076:
1072:
1068:
1063:
1001:
999:
995:
991:
987:
983:
979:
975:
971:
967:
963:
955:
950:
943:
939:
926:
915:
867:
864:
861:
860:
834:
822:
818:
815:
812:
811:
781:
778:
775:
774:
749:
743:
740:
737:
734:
733:
700:
697:
694:
693:
668:
667:
660:
655:
654:
650:
649:
642:
637:
636:
631:
628:
625:
622:
621:
589:
588:
582:
578:
577:
571:
567:
566:
560:
555:
551:
548:
545:
544:
518:
517:
508:
501:
498:
494:
493:
484:
477:
474:
469:
466:
463:
460:
459:
428:
425:
422:
421:
395:
394:
388:
378:
374:
373:
367:
357:
352:
349:
346:
343:
342:
312:
309:
306:
305:
280:
279:
273:
263:
259:
258:
252:
242:
237:
234:
231:
228:
227:
197:
194:
191:
190:
165:
164:
158:
148:
144:
143:
137:
127:
123:
122:
116:
106:
102:
101:
95:
85:
80:
77:
74:
71:
70:
51:
22:
17:
12:
11:
5:
1221:
1211:
1210:
1205:
1189:
1188:
1176:Leonhard Euler
1167:
1166:
1164:
1161:
1156:
1153:
1152:
1139:
1130:
1129:
1125:
1113:
1105:
1102:
1097:
1091:
1089:is called an "
1086:
1082:
1078:
1074:
1070:
1066:
1062:
1059:
1039:Leonhard Euler
997:
993:
992:th power" or "
989:
985:
981:
977:
973:
969:
965:
961:
956:is called the
953:
949:
946:
941:
937:
936:is the number
930:exponentiation
917:
916:
914:
913:
906:
899:
891:
888:
887:
884:
883:
858:
845:
841:
836:anti-logarithm
833:
830:
821:
809:
806:
805:
798:
797:
772:
759:
731:
728:
727:
717:
716:
691:
678:
673:
652:
651:
634:
633:
630:
619:
616:
615:
612:Exponentiation
608:
607:
593:
580:
579:
569:
568:
558:
557:
554:
541:
528:
523:
496:
495:
472:
471:
468:
457:
454:
453:
446:
445:
418:
405:
400:
386:
376:
375:
365:
355:
354:
351:
340:
337:
336:
333:Multiplication
329:
328:
303:
290:
285:
271:
261:
260:
250:
240:
239:
236:
225:
222:
221:
214:
213:
188:
175:
170:
156:
146:
145:
135:
125:
124:
114:
104:
103:
93:
83:
82:
79:
68:
65:
64:
53:
52:
50:
49:
42:
35:
27:
15:
9:
6:
4:
3:
2:
1220:
1209:
1206:
1204:
1201:
1200:
1198:
1185:
1181:
1177:
1172:
1168:
1160:
1150:
1146:
1142:
1137:
1136:
1135:
1128:, denoted log
1123:
1119:
1111:
1101:
1095:
1058:
1056:
1052:
1048:
1044:
1040:
1036:
1031:
1029:
1025:
1021:
1017:
1013:
1009:
1007:
996:to the power
959:
948:Related terms
945:
935:
931:
924:
912:
907:
905:
900:
898:
893:
892:
890:
889:
859:
843:
828:
819:
810:
807:
803:
799:
773:
757:
732:
729:
725:
723:
718:
692:
676:
671:
620:
617:
613:
609:
606:
552:
542:
526:
521:
458:
455:
451:
447:
444:
419:
403:
398:
384:
363:
341:
338:
334:
330:
304:
288:
283:
269:
248:
226:
223:
219:
215:
189:
173:
168:
154:
133:
112:
91:
69:
66:
62:
58:
55:
54:
48:
43:
41:
36:
34:
29:
28:
25:
21:
20:
1203:Exponentials
1171:
1154:
1148:
1144:
1140:
1118:well-defined
1116:(when it is
1107:
1069:th power of
1064:
1054:
1050:
1046:
1042:
1034:
1033:In his 1748
1032:
1015:
1010:
1005:
980:th power of
951:
933:
927:
721:
390:multiplicand
1004:. The term
952:The number
510:denominator
218:Subtraction
1197:Categories
1163:References
1104:Logarithms
972:with base
380:multiplier
314:difference
275:subtrahend
1122:logarithm
1065:When the
869:logarithm
829:
802:Logarithm
503:numerator
385:×
364:×
270:−
249:−
1134:. Thus:
1124:to base
1053:. First
1024:constant
1020:variable
958:exponent
745:radicand
644:exponent
573:quotient
562:fraction
479:dividend
450:Division
61:Addition
1178:(1748)
1094:th root
1085:, then
988:to the
724:th root
486:divisor
430:product
265:minuend
118:summand
108:summand
932:, the
751:degree
369:factor
359:factor
160:addend
150:augend
139:addend
129:addend
1096:" of
1077:, or
1061:Roots
1012:Radix
1006:power
923:Radix
804:(log)
702:power
662:power
584:ratio
1108:The
1049:) =
1022:and
1016:base
984:", "
934:base
824:base
783:root
657:base
639:base
254:term
244:term
97:term
87:term
1182:of
1138:log
964:by
928:In
820:log
726:(√)
614:(^)
452:(÷)
335:(×)
220:(−)
199:sum
63:(+)
1199::
1157:10
1147:=
1037:,
1030:.
944:.
1151:.
1149:n
1145:a
1141:b
1131:b
1126:b
1114:b
1098:a
1092:n
1087:b
1083:b
1079:a
1075:a
1071:b
1067:n
1055:z
1051:a
1047:z
1043:a
998:n
994:b
990:n
986:b
982:b
978:n
974:b
970:n
966:n
962:b
954:n
942:b
938:b
925:.
910:e
903:t
896:v
844:=
840:)
832:(
758:=
722:n
677:=
672:}
553:{
527:=
522:}
404:=
399:}
289:=
284:}
174:=
169:}
155:+
134:+
113:+
92:+
46:e
39:t
32:v
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