Zog degree

Erection ntawm ib tug tej yam ntuj tso lub hwj chim yog nws tus kheej tam sim ntawd repetition ceeb nyob rau hauv integer lub sij hawm. Number, ua raws li ib tug zoo tshaj - yog lub hauv paus ntawm cov neeg kawm ntawv thiab tus naj npawb cim tias seb thaum tus naj npawb ntawm tib yam, hu ua lub exponent. Cov tshwm sim ntawm tua ua thiab muaj ib tug degree. Piv txwv li, peb nyob rau hauv lub thib rau lub degree yog ib tug repetition ntawm tus xov tooj peb nyob rau hauv daim ntawv ntawm ib tug d rau lub sij hawm.

Foundation degree tej zaum yuav tej tooj lwm yam tshaj zero.

Qhov thib ob thiab thib peb degree xov tooj muaj kev tshwj xeeb cov npe. Nws yog ib, raws li, ib tug square thiab ib lub voos xwmfab.

Nyob rau hauv thawj hwj chim ntawm kev noj nws tus kheej raws li ib tug xov tooj.

Rau zoo naj npawb xov tooj tseem txiav txim seb lub degree ntawm muaj ib tug muaj kuab taw qhia. Raws li peb paub, tej kuab tooj sau raws li ib feem, lub numerator uas yog cov tag nrho, lub denominator - lub ntuj, uas yog ib tug zoo integer txawv los ntawm kev sib sau.

Degree nrog ib tug muaj kuab taw qhia yog ib tug hauv paus ntawm degree sib npaug zos rau denominator ntawm lub exponent, thiab radicand - ib lub hauv paus ntawm lub hwj chim tsa mus rau ib lub hwj chim sib npaug zos rau cov numerator. Piv txwv li: peb nyob rau hauv lub saum toj 4/5 ntawm lub thib tsib degree yog sib npaug zos rau peb nyob rau hauv lub thib plaub.

Nco ntsoov ib co zog tsob ncaj qha los ntawm qhov suav hais tias cov ntsiab lus txhais:

• tej zoo xov tooj nyob rau hauv ib tug muaj kuab degree - zoo;

• tus nqi ntawm qhov ntsuas rau cov kev tswj tsis yog nyob rau qhov zoo ntawm nws cov ntaubntawv povthawj siv;

• Yog hais tias lub hauv paus yog tsis zoo, cov neeg kawm ntawv ntawm rational numbers tsis txhais.

Yog hais tias ib tug zoo paus ntawm thaj chaw ntawm degree hais txog ntawm qhov muaj tseeb tiag lub hom phiaj.

Properties nrog ib tug tej yam ntuj tso taw qhia ntawm cov neeg kawm ntawv:

1. txawj cov neeg kawm ntawv muaj cov tib puag, lub hauv paus yog tshuav unchanged thiab muab tso rau indicators. Piv txwv li: los ntawm txawj lub thib tsib degree nyob rau hauv peb los ntawm peb cov nyob rau hauv lub xya rau kaum ob tau peb degrees (5 + 7 = 12).

2. Thaum faib powers nrog tib lub hauv paus, lawv tshuav unchanged, thiab cov nuj nqis proofreads. Piv txwv li: thaum muab faib ua peb peb yim rau fifth-degree tau peb squared (8-5 = 3).

3. Thaum lub theem yog tsa, rau lub hauv paus yog tshuav unchanged, thiab cov nuj nqis yog multiplied. Piv txwv li: thaum lub tsev 3 nyob rau hauv lub thib tsib rau xya muab 3 peb caug-tsib (5x7 = 35).

4. Yuav kom peb tsim ib yam khoom rau cov neeg tib yam yog tsa txhua yam ntawm cov yam tseem ceeb. Piv txwv li: lub 2x3 siv ua hauj lwm nyob rau hauv lub thib tsib khoom tau nyob rau hauv lub thib tsib ntawm ob mus rau peb nyob rau hauv lub thib tsib.

5. Yuav kom txhim tsa ib feem nyob rau hauv degree rau cov tib neeg kawm ntawm kev tsa lub numerator thiab denominator. Piv txwv li: nyob rau hauv kev tsim kho ntawm 2/5 nyob rau hauv lub thib tsib tau txais ib feem, lub numerator uas - ob nyob rau hauv lub thib tsib, nyob rau hauv lub denominator - tsib nyob rau hauv lub thib tsib.

Cov zog tuav rau cov neeg kawm ntawv ntawm fractional exponents.

Properties degree nrog muaj kuab exponent

Peb paub tej ntsiab lus. Muaj lwm yam tshaj li 0 tiag tiag tooj tsa mus rau zero yog sib npaug zos rau ib tug.

Tej tshaj 0 tiag tiag tooj tsa mus rau ib lub hwj chim uas muaj ib tug tsis zoo integer exponent - ib feem nrog denominator thiab numerator ntawm lub tsev, ib lub hwj chim ntawm lub tib lub xov tooj, tab sis muaj cov lus rov tivthaiv.

Peb pab lub zog ntawm ob peb lub tshiab degree, uas muaj feem rau muaj kuab exponents.

Degree nrog ib tug muaj kuab taw qhia yog tsis tau hloov nyob rau hauv lub npaug los yog faib ntawm lub numerator thiab denominator ntawm nws cov Performance index ntawm teej rau xoom yog tib yam pes tsawg tus.

Thaum lub hauv paus ntawm lub chav tsev:

• yog hais tias tus index yog zoo, cov theem ntawm ntau tshaj 1;
• Yog hais tias tsis zoo - tsawg tshaj li ib.

Thaum lub hauv paus ntawm txoj tsawg dua ib leeg, on qhov tsis tooj:

• yog hais tias tus index yog zoo, ces cov neeg kawm ntawv uas tsawg tshaj li ib tug;
• Yog hais tias tsis zoo - yog ntau dua li 1.

Thaum lub exponent nce, ces:

• ua cov neeg kawm ntawv nws tus kheej, Yog hais tias lub hauv paus yog ntau dua tshaj ib tug;

• txo yog tias lub hauv paus yog tsawg tshaj li kev sib sau.