Mathematics (9-1) - 0980 CIE

Indices II

Gbogbo ọrọ náà

Indices II takes the laws of indices you already know and pushes them further, into negative and (at Extended) fractional powers, applied to numbers and algebra alike. Fractional indices are simply another way of writing roots, which links this topic neatly to surds.

In this lesson you will apply the rules of indices with positive, zero and negative powers, and (at Extended) interpret and use fractional indices such as a half meaning a square root.

Ebumnobi

Understand and use indices (positive, zero and negative).
Understand and use the rules of indices.
Understand and use indices (positive, zero, negative and fractional). (Extended only)

Akọmọ Ojú-ẹkọ

The same handful of index laws simplify huge expressions in one line and connect powers, roots and standard form. Fractional indices in particular unlock a tidy way to handle roots in algebra.

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Ayẹwo Ẹkọ

Ekele diri gi maka imecha ihe karịrị na Indices II. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.

Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.

Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.