pū | Paekupu

WhakamĀrama Āpitihanga

E toru ngā whakahuatanga o te taupū. Hei tauira, ko te 2⁴= 16:

Pūwhātia te rua, ka tekau mā ono.
Ko te tekau mā ono te pūwhā o te rua.
E rua ki te pūwhā, ka tekau mā ono.

Kia mataara:
I roto i te reo Ingarihi, ka whakamahia te kupu ‘squared’ hei kawe i te tikanga o te pūrua. Ka pōraruraru katoa te ākonga ina whakamahia te kupu ‘tapawhā’ (mō te squared) i roto i ngā akoranga reo Māori. Ka pōraruraru nā te mea e whakamahia ana te kupu ‘tapawhā ’, engari he ^'2'kē te tohu.

Anei ngā tau pūrua tae atu ki te 10²:
1²= 1 = 1 x 1
2²= 4 = 2 x 2
3²= 9 = 3 x 3
4²= 16 = 4 x 4
5²= 25 = 5 x 5
6²= 36 = 6 x 6
7²= 49 = 7 x 7
8²= 64 = 8 x 8
9²= 81 = 9 x 9
10²= 100 = 10 x 10

Anei ngā tau pūtoru tae atu ki te 10³:
1³= 1 = 1 x 1 x 1
2³= 8 = 2 x 2 x 2
3³= 27 = 3 x 3 x 3
4³= 64 = 4 x 4 x 4
5³= 125 = 5 x 5 x 5
6³= 216 = 6 x 6 x 6
7³= 343 = 7 x 7 x 7
8³= 512 = 8 x 8 x 8
9³= 729 = 9 x 9 x 9
10³= 1,000 = 10 x 10 x 10

Mēnā he tau tōraro te pū, ka hurihia te whārite hei whakawehenga. Hei tauira:

Ko te 8 te pūtoru o te 2, arā, 2³ = 8. E toru ngā tau i tēnei whārite:

Ko te 2 te pūtake, arā, te tau e whakareatia ana ki a ia anō.
Ko te 3 te pūkōaro, arā, te maha o ngā whakareatanga.
Ko te 8 te otinga.

Ka kīia ko te 3 te pūkōaro o te 8 mēnā ko te 2 te pūtake. Ka pēnei te tuhi whakapoto: pūkōaro₂(8) = 3.

Hei tauira atu anō o te pūkōaro:

10³ = 1,000, nō reira: pūkōaro₁₀(1,000) = 3
5⁴ = 625, nō reira: pūkōaro₅(625) = 4
25² = 625, nō reira: pūkōaro₂₅(625) = 2

I tēnei momo whārite, ka whiriwhiria te otinga: 4² = a. Arā, ko te a te otinga o te pūrua i te 4.

I tēnei momo whārite, ka whiriwhiria te pūtake: a^{2 =} 16. Arā, ko te a te pūtakerua o te 16.

I tēnei momo whārite, ka whiriwhiria te pūkōaro: 4^{a =} 16. Arā a = pūkōaro₄(16).

pū

exponent, indice, power

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