Zvivako dhigirii

Erection dzinongoitika simba riri yayo pakarepo kudzokororwa chinhu integer nguva. Number, akadzokorora somunhu chinhu - ndiyo nheyo dhigirii uye nhamba inotaridza nhamba chete zvinhu, akadana exponent. Mugumisiro akaurayiwa zviito uye vane dhigirii. Somuenzaniso, nhatu rechitanhatu dhigirii chinhu uchidzokorora nhamba nhatu dziri muchimiro multiplier katanhatu.

Foundation dhigirii kungava chero nhamba kunze razero.

Wechipiri newechitatu dhigirii nhamba dzine mazita chaiwo. Zviri, maererano, mumwe mativi uye kuutio.

Simba achitora pacharo sezvo nhamba yokutanga.

Nokuti zvakanaka nhamba uyewo kuona ukuru ane ndaisagona chakarurama. Sezvatinoziva tese, chero pfungwa nhamba zvakanyorwa sezvo chikamu, iro numerator iyo ndiyo yose, ari dhinomineta - zvakasikwa, ari yakanaka integer dzakasiyana kubatana.

Dhigirii pamwe ndaisagona chakarurama ndiwo mudzi dhigirii zvakaenzana dhinomineta pamusoro exponent, uye radicand - ari mujinga simba vanomutswa kuti simba akaenzana numerator. Somuenzaniso: nhatu pamusoro 4/5 wechishanu dhigirii akaenzana matatu ari wechina.

Cherechedza zvimwe zvivako yomuka zvakananga kubva vaiona tsanangudzo:

• chero zvakanaka nhamba iri ndaisagona dhigirii - akanaka;

• kukosha chinoratidza kuti basa hakutsamiri chimiro chayo yakarekodwa;

• kana mujinga akaipa, ukuru kufunga nhamba hadzina kunorondedzerwa.

Kana uine hwaro zvivako zviri dhigirii pasinei chipfuro wechokwadi.

Properties ane dzinongoitika inoratidza dhigirii:

1. vachiwedzera mwero muchiva nechigadziko, nechigadziko chinosara kuchinja uye akaisa zviratidzo. Somuenzaniso: kubudikidza vachiwedzera wechishanu dhigirii muna nhatu matatu ari wechinomwe nemiviri vakawana madhigirii matatu (5 + 7 = 12).

2. Kana kupatsanura masimba pamwe chete chawo, ivo vasara kuchinja, uye nhamba proofreads. Somuenzaniso: kana akakamurwa matatu matatu namasere kuti rechishanu-dhigirii vakawana matatu akaenzana (8-5 = 3).

3. Kana pamwero amutswa, nechigadziko chinosara kuchinja, uye nhamba vawanda. Somuenzaniso: apo kuvaka 3 weshanu rechinomwe kupa 3 matatu cheshanu (5x7 = 35).

4. Kuti uvake chigadzirwa kusvika ndiro yakaitwa nerimwe zvinhu. Somuenzaniso: riri 2x3 rokuvaka rechishanu chigadzirwa yakawanikwa rechishanu maviri matatu ari wechishanu.

5. Kuti kumisa chikamu mune dhigirii kune imwe mwero dzichiisa numerator uye dhinomineta. Somuenzaniso: pakuvaka 2/5 rechishanu kugamuchira chikamu, iro numerator iyo - vaviri wechishanu, ari dhinomineta - mashanu wechishanu.

ehupfumi izvi bata kuti mwero fractional exponents.

Properties dhigirii pamwe kodzera exponent

We anosuma dzimwe tsanangudzo. Mumwe kupfuura 0 nhamba chaiyo yakamutswa razero akaenzana mumwe.

Chero pane 0 nhamba chaiyo yakamutswa kuti simba ane kunaka integer exponent - chikamu chete dhinomineta uye numerator pamusoro Unit, rimwe simba chete nhamba, asi tine zvakasiyana zvinoriumba.

We kutsivira ehupfumi kuti dhigirii itsva dzinoverengeka, izvo chokuita kodzera exponents.

Dhigirii pamwe ndaisagona chakarurama haina akachinja chokuwanziridza kana weboka numerator uye dhinomineta kuti indekisi kwayo panguva dzisakarurama kuti razero ndiye nhamba.

At mujinga chikwata:

• kana indekisi iri zvakanaka, pachiyero vanopfuura 1;
• kana kunaka - asingasviki chete.

Mujinga asingasviki rimwe, nekusiyana:

• kana indekisi iri zvakanaka, zvino mwero asingasviki mumwe;
• kana kunaka - mukuru 1.

Kana exponent kuwedzera, ipapo:

• kuwedzera dhigirii pacharo, kana zvitsigiro mukuru mumwe;

• zvinoderedza kana mujinga idukusa kubatana.