Mathematics (9-1) - 0980 CIE

Indices II

Akopọ

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.

Awọn Afojusun

  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)

Akọ̀wé Ẹ̀kọ́

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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Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

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Ìdánwò Ẹ̀kọ́

Oriire fun ipari ẹkọ lori Indices II. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.

Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.

Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.

  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

O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
Oluranlọwọ ẹkọ ti AI ṣe agbara rẹ
Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
O wa lori Android, Windows, macOS, ati Linux

O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
Oluranlọwọ ẹkọ ti AI ṣe agbara rẹ
Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
O wa lori Android, Windows, macOS, ati Linux

Ṣe Adaṣe Awọn Ibeere Idanwo Adaṣe

Ṣe o fẹ ṣe adaṣe awọn ibeere idanwo adaṣe nipa Indices II? Ṣe igbasilẹ ohun elo Green Bridge CBT lati wọle si awọn ibeere idanwo adaṣe ati awọn ayẹwo adaṣe kikun fun koko-ọrọ yii.

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