Te tātaitai (whakahaere)
E whakatū ana i tētahi pūtake ki tētahi hiko, tae atu ki ngā taupū tōraro me ngā taupū hautanga.
Ka whakahōutia ngā hua i te wā e tātuhi ana.
Mo tēnei tātaitai
An exponent calculator raises a base to a power — repeated multiplication of the base by itself. Enter the base and the exponent and it returns the result, the value in scientific notation when it is very large or small, and, for small whole exponents, the expanded multiplication so you can see where the answer comes from.
A whole exponent means "multiply the base by itself this many times": 2^10 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 1024. Any non-zero base to the power 0 is 1, and to the power 1 is the base itself. A negative exponent is the reciprocal of the positive power — 2^−3 = 1 ÷ 2^3 = 1/8 = 0.125 — and a fractional exponent is a root, so 8^(1/3) is the cube root of 8, which is 2.
Exponents underpin compound interest, scientific notation, area and volume scaling, exponential growth and computer science. A negative base raised to an even exponent is positive and to an odd exponent is negative: (−2)^3 = −8 but (−2)^4 = 16.
Ko nga pātai e pā ana
He aha te tikanga o te taupū tōraro?
Ko te taupū tōraro te tauwhitinga o te hiko tōrunga. 2⁻³ = 1 ÷ 2³ = 1/8 = 0.125.
He aha te taupū hautanga?
Ko te pūtake o te pūtake hautanga: x^(1/2) ko te pūtake tapawhā o te x, ā, ko x^(1/3) te pūtake kupiki. Nō reira 8^(1/3) = 2.
He aha tētahi tau ki te hiko o te kore?
Ko tētahi pūtake kore-kore i whakarewaina ki te hiko 0 e ōrite ana ki te 1. Ko te whakarewaina ki te hiko 1 ka tuku i te pūtake kāore i te huri.
He aha te 2 ki te hiko 10?
Taumaha te 2 mā tōna anō tekau mā tekau ngā wā: 2^10 = 1024. Ko te tauira pūmau e whakaaturia ana e tēnei utauta.
Ka āhei te pūtake ki te tōraro?
Heoi anō, he tōrunga te pūtake tōraro me te taupū tōraro, ā, ko te taupū tōraro he tōraro: (−2)^4 = 16 engari (−2)^3 = −8.
He pēhea te whakaaturanga o ngā hiko nui rawa?
E whakaaturia ana hoki rātau i roto i te tuhipoka pūtaiao mō te mātauranga — hei tauira, ko te 2^40 tata ki te 1.0995 × 10^12.
API — whakamahi tēnei tātaitai mai i te waehere
E kī ana tēnei tātaitai hei wāhi mutunga kore JSON - kāore he kī e hiahiatia ana. Ka tukuna ngā uara āpure i raro nei hei tohutoro pātai, JSON rānei. Anything you omit uses the same default this page is pre-filled with; an unknown parameter is a 400, never a silent zero. Ka pānui te papatono API katoa →
Whakamutunga
GET https://calculator.free/api/v1/exponent/
curl
curl "https://calculator.free/api/v1/exponent/?base=2&exponent=10"
JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/exponent/?" + new URLSearchParams({
"base": "2",
"exponent": "10"
}));
const data = await r.json();
console.log(data.results);
Ko ngā hua he whakataunga mō te tohutohu ahuwhānui anake, ehara i te tohutohu moni, rongoā, tāke rānei.