Mathematics (9-1) - 0980 CIE

Indices II

Bayani Gaba-gaba

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.

Manufura

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

Takardar Darasi

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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Nazarin Darasi

Barka da kammala darasi akan Indices II. Yanzu da kuka bincika mahimman raayoyi da raayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.

Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.

Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.

  1. Evaluate 16^(1/2). A. 4 B. 8 C. 32 D. 256 Answer: A
  2. Evaluate 8^(1/3). A. 2 B. 3 C. 4 D. 24 Answer: A
  3. Evaluate 27^(2/3). A. 6 B. 9 C. 18 D. 729 Answer: B
  4. Simplify (x^5 x x^2) ÷ x^3. A. x^4 B. x^10 C. x^0 D. x^7 Answer: A
  5. Evaluate 5^(-2). A. -25 B. -10 C. 1/25 D. 1/10 Answer: C

Akwai a cikin manhajar Green Bridge

Zazzage manhajar Green Bridge CBT a wayar ka ko kwamfyuta ka don samun cikakkiyar bayanan darasi, tambayoyin aiki, da ƙari.

Cikakkiyar bayanan darasi tare da zane-zane
Mataimakiyar koyo da AI
Yi karatu ba tare da intanet ba, a kowane lokaci, a ko'ina
Akwai a Android, Windows, macOS, da Linux

Akwai a cikin manhajar Green Bridge

Zazzage manhajar Green Bridge CBT a wayar ka ko kwamfyuta ka don samun cikakkiyar bayanan darasi, tambayoyin aiki, da ƙari.

Cikakkiyar bayanan darasi tare da zane-zane
Mataimakiyar koyo da AI
Yi karatu ba tare da intanet ba, a kowane lokaci, a ko'ina
Akwai a Android, Windows, macOS, da Linux

Yi Aikin Tambayoyin Gwaji

Kana son yin aikin tambayoyin gwaji kan Indices II? Sauke manhajar Green Bridge CBT don samun tambayoyin gwaji da cikakkun jarrabawa akan wannan batu.

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