[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.40,0:00:01.46,Default,,0000,0000,0000,,La oss se, om vi kan bruke det,
Dialogue: 0,0:00:01.46,0:00:04.53,Default,,0000,0000,0000,,vi vet om negative tall
Dialogue: 0,0:00:04.53,0:00:06.03,Default,,0000,0000,0000,,og potenstall
Dialogue: 0,0:00:06.03,0:00:08.88,Default,,0000,0000,0000,,til å regne ut negative potenstall.
Dialogue: 0,0:00:08.88,0:00:10.20,Default,,0000,0000,0000,,.
Dialogue: 0,0:00:10.20,0:00:13.72,Default,,0000,0000,0000,,La oss starte med minus 3.
Dialogue: 0,0:00:13.72,0:00:15.12,Default,,0000,0000,0000,,Vi starter med å
Dialogue: 0,0:00:15.12,0:00:18.06,Default,,0000,0000,0000,,heve det opp i første.
Dialogue: 0,0:00:18.06,0:00:22.08,Default,,0000,0000,0000,,Det gir minus 3.
Dialogue: 0,0:00:22.08,0:00:23.99,Default,,0000,0000,0000,,Det er ikke noe å gange med.
Dialogue: 0,0:00:23.99,0:00:27.64,Default,,0000,0000,0000,,Det er lik minus 3.
Dialogue: 0,0:00:27.64,0:00:30.07,Default,,0000,0000,0000,,Hva skjer der,
Dialogue: 0,0:00:30.07,0:00:34.14,Default,,0000,0000,0000,,hvis vi har minus 3 og hever det opp i annen?
Dialogue: 0,0:00:34.14,0:00:37.66,Default,,0000,0000,0000,,Det er 2 minus treere.
Dialogue: 0,0:00:37.66,0:00:44.66,Default,,0000,0000,0000,,Minus 3 gange minus 3.
Dialogue: 0,0:00:44.66,0:00:46.46,Default,,0000,0000,0000,,Hva er det?
Dialogue: 0,0:00:46.46,0:00:48.93,Default,,0000,0000,0000,,Minus gange minus gir pluss.
Dialogue: 0,0:00:48.93,0:00:53.67,Default,,0000,0000,0000,,Det er altså pluss 9.
Dialogue: 0,0:00:53.67,0:00:55.92,Default,,0000,0000,0000,,Svaret er 9.
Dialogue: 0,0:00:55.92,0:00:56.80,Default,,0000,0000,0000,,La oss fortsette.
Dialogue: 0,0:00:56.80,0:00:59.05,Default,,0000,0000,0000,,La oss prøve å finne et mønster.
Dialogue: 0,0:00:59.05,0:01:04.80,Default,,0000,0000,0000,,La oss nå heve opp minus 3 i tredje.
Dialogue: 0,0:01:04.80,0:01:06.92,Default,,0000,0000,0000,,Hva gir det?
Dialogue: 0,0:01:06.92,0:01:12.66,Default,,0000,0000,0000,,Vi skal ta 3 minus treere.
Dialogue: 0,0:01:12.66,0:01:14.63,Default,,0000,0000,0000,,og gange de med hverandre.
Dialogue: 0,0:01:14.63,0:01:16.58,Default,,0000,0000,0000,,La oss gjøre det.
Dialogue: 0,0:01:16.58,0:01:20.20,Default,,0000,0000,0000,,Minus 3 ganger minus 3 ga 9.
Dialogue: 0,0:01:20.20,0:01:26.81,Default,,0000,0000,0000,,9 gange minus 3 gir minus 27.
Dialogue: 0,0:01:26.81,0:01:28.72,Default,,0000,0000,0000,,Det er et visst mønster.
Dialogue: 0,0:01:28.72,0:01:33.06,Default,,0000,0000,0000,,Når vi hever opp et negativt
Dialogue: 0,0:01:33.06,0:01:41.19,Default,,0000,0000,0000,,tall i et ulikt tall.
Dialogue: 0,0:01:41.19,0:01:47.91,Default,,0000,0000,0000,,er resultatet negativt.
Dialogue: 0,0:01:47.91,0:01:49.40,Default,,0000,0000,0000,,Når vi ganger negative tall
Dialogue: 0,0:01:49.40,0:01:50.85,Default,,0000,0000,0000,,med hverandre like mange antall ganger,
Dialogue: 0,0:01:50.85,0:01:52.12,Default,,0000,0000,0000,,gir minus og minus nemlig pluss.
Dialogue: 0,0:01:52.12,0:01:53.01,Default,,0000,0000,0000,,Når vi deretter ganger med 1 negativt tall mer,
Dialogue: 0,0:01:53.01,0:01:54.52,Default,,0000,0000,0000,,blir resultatet negativt.
Dialogue: 0,0:01:54.52,0:01:56.70,Default,,0000,0000,0000,,.
Dialogue: 0,0:01:56.70,0:01:59.59,Default,,0000,0000,0000,,Hvis vi har et negativt tall
Dialogue: 0,0:01:59.59,0:02:04.47,Default,,0000,0000,0000,,og hever det opp i et likt tall,
Dialogue: 0,0:02:04.47,0:02:07.33,Default,,0000,0000,0000,,er resultatet positivt,
Dialogue: 0,0:02:07.33,0:02:09.73,Default,,0000,0000,0000,,fordi det er et negativt tall gange et negativt tall.
Dialogue: 0,0:02:09.73,0:02:12.06,Default,,0000,0000,0000,,Det gjelder,
Dialogue: 0,0:02:12.06,0:02:14.13,Default,,0000,0000,0000,,når vi hever det opp i en lik eksponent.
Dialogue: 0,0:02:14.13,0:02:16.74,Default,,0000,0000,0000,,Minusene kommer ut med hverandre.
Dialogue: 0,0:02:16.74,0:02:17.53,Default,,0000,0000,0000,,.
Dialogue: 0,0:02:17.53,0:02:19.74,Default,,0000,0000,0000,,Produktet av 2 negative tall
Dialogue: 0,0:02:19.74,0:02:21.27,Default,,0000,0000,0000,,er positivt.
Dialogue: 0,0:02:21.27,0:02:23.87,Default,,0000,0000,0000,,Det her blir
Dialogue: 0,0:02:23.87,0:02:27.66,Default,,0000,0000,0000,,altså positivt.
Dialogue: 0,0:02:27.66,0:02:29.50,Default,,0000,0000,0000,,Det er altså i bunn og grunn
Dialogue: 0,0:02:29.50,0:02:32.49,Default,,0000,0000,0000,,ikke noe nytt i det her.
Dialogue: 0,0:02:32.49,0:02:33.66,Default,,0000,0000,0000,,Det er samme regler som normalt med pluss og minus.
Dialogue: 0,0:02:33.66,0:02:35.41,Default,,0000,0000,0000,,Vi skal kun huske,
Dialogue: 0,0:02:35.41,0:02:38.14,Default,,0000,0000,0000,,at minus gange minus gir pluss,
Dialogue: 0,0:02:38.14,0:02:41.66,Default,,0000,0000,0000,,og minus gange pluss gir minus.
Dialogue: 0,0:02:41.66,0:02:43.30,Default,,0000,0000,0000,,Det har vi allerede lært,
Dialogue: 0,0:02:43.30,0:02:45.54,Default,,0000,0000,0000,,da vi ganget med negative tall.
Dialogue: 0,0:02:45.54,0:02:48.07,Default,,0000,0000,0000,,Det er en ting til vi må huske på.
Dialogue: 0,0:02:48.07,0:02:50.55,Default,,0000,0000,0000,,Det kan nemlig godt opstå tvil,
Dialogue: 0,0:02:50.55,0:02:54.23,Default,,0000,0000,0000,,hvis noen skriver det her.
Dialogue: 0,0:02:54.23,0:02:55.90,Default,,0000,0000,0000,,.
Dialogue: 0,0:02:55.90,0:02:58.33,Default,,0000,0000,0000,,Man kan pause videoen og tenkte selv over,
Dialogue: 0,0:02:58.33,0:03:01.47,Default,,0000,0000,0000,,hva det her regnestykket
Dialogue: 0,0:03:01.47,0:03:03.33,Default,,0000,0000,0000,,gir.
Dialogue: 0,0:03:03.33,0:03:05.96,Default,,0000,0000,0000,,Man kan også tenke over,
Dialogue: 0,0:03:05.96,0:03:11.79,Default,,0000,0000,0000,,hvorfor det gir noe annet enn det her.
Dialogue: 0,0:03:11.79,0:03:14.66,Default,,0000,0000,0000,,Når vi tenker på regnehierakiet,
Dialogue: 0,0:03:14.66,0:03:17.03,Default,,0000,0000,0000,,skal vi alltid huske å
Dialogue: 0,0:03:17.03,0:03:19.47,Default,,0000,0000,0000,,regne ut potenstallet
Dialogue: 0,0:03:19.48,0:03:21.79,Default,,0000,0000,0000,,før vi ganger med minus 1.
Dialogue: 0,0:03:21.79,0:03:25.90,Default,,0000,0000,0000,,Det er minus 1 gange 2 i tredje.
Dialogue: 0,0:03:25.90,0:03:29.00,Default,,0000,0000,0000,,Noen ganger blir det oppfattet som
Dialogue: 0,0:03:29.00,0:03:32.06,Default,,0000,0000,0000,,minus 2 i tredje.
Dialogue: 0,0:03:32.06,0:03:34.50,Default,,0000,0000,0000,,Det er lik minus 8.
Dialogue: 0,0:03:34.50,0:03:36.38,Default,,0000,0000,0000,,Det er er også minus 2 i tredje,
Dialogue: 0,0:03:36.38,0:03:38.39,Default,,0000,0000,0000,,.
Dialogue: 0,0:03:38.39,0:03:40.52,Default,,0000,0000,0000,,som gir minus 8.
Dialogue: 0,0:03:40.52,0:03:43.46,Default,,0000,0000,0000,,Hva er da problemet?
Dialogue: 0,0:03:43.46,0:03:46.93,Default,,0000,0000,0000,,Hva hvis de her eksponentene var like?
Dialogue: 0,0:03:46.93,0:03:51.49,Default,,0000,0000,0000,,La oss få orden på dette.
Dialogue: 0,0:03:51.49,0:04:00.61,Default,,0000,0000,0000,,La oss nå si, at det er minus 4 i annen.
Dialogue: 0,0:04:00.61,0:04:04.56,Default,,0000,0000,0000,,Det her gir helt sikkert 16.
Dialogue: 0,0:04:04.56,0:04:07.19,Default,,0000,0000,0000,,Det er minus 4 gange minus 4.
Dialogue: 0,0:04:07.19,0:04:09.07,Default,,0000,0000,0000,,Når vi ser på regnehierakiet
Dialogue: 0,0:04:09.07,0:04:11.00,Default,,0000,0000,0000,,og regner ut potenstallet først,
Dialogue: 0,0:04:11.00,0:04:12.56,Default,,0000,0000,0000,,kan det her oppfattes
Dialogue: 0,0:04:12.56,0:04:15.77,Default,,0000,0000,0000,,som minus gange 4 gange 4,
Dialogue: 0,0:04:15.77,0:04:18.08,Default,,0000,0000,0000,,og det er minus 16.
Dialogue: 0,0:04:18.08,0:04:20.96,Default,,0000,0000,0000,,Det er altså viktig å huske på.
Dialogue: 0,0:04:20.96,0:04:23.44,Default,,0000,0000,0000,,Hvis vi vil ha, at roten er minus 4,
Dialogue: 0,0:04:23.44,0:04:25.47,Default,,0000,0000,0000,,kan vi vise det ved å sette parenteser
Dialogue: 0,0:04:26.00,0:04:30.00,Default,,0000,0000,0000,,rundt og så skrive eksponenten.