Mathematics - International - 0607 CIE

Indices I

Muhtasari

Indices are mathematical shorthand for repeated multiplication, and the rules of indices let you combine powers without writing them out in full. They make light work of expressions that would otherwise be huge, and they are the foundation of standard form and much of the algebra ahead.

In this lesson you will use positive, zero and negative indices, and apply the laws of indices to multiply, divide and raise powers. These few rules, once secure, turn complicated-looking expressions into quick one-line simplifications.

Malengo

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

Maelezo ya Somo

Writing \(2 \times 2 \times 2 \times 2 \times 2\) as \(2^5\) is more than neat: it lets you combine powers using simple rules. Those rules reappear in standard form, surds and algebraic manipulation, so they earn their keep many times over.

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Tathmini ya Somo

Hongera kwa kukamilisha somo la Indices I. Sasa kwa kuwa umechunguza dhana na mawazo muhimu, ni wakati wa kuweka ujuzi wako kwa mtihani. Sehemu hii inatoa mazoezi mbalimbali maswali yaliyoundwa ili kuimarisha uelewaji wako na kukusaidia kupima ufahamu wako wa nyenzo.

Utakutana na mchanganyiko wa aina mbalimbali za maswali, ikiwemo maswali ya kuchagua jibu sahihi, maswali ya majibu mafupi, na maswali ya insha. Kila swali limebuniwa kwa umakini ili kupima vipengele tofauti vya maarifa yako na ujuzi wa kufikiri kwa makini.

Tumia sehemu hii ya tathmini kama fursa ya kuimarisha uelewa wako wa mada na kubaini maeneo yoyote ambapo unaweza kuhitaji kusoma zaidi. Usikatishwe tamaa na changamoto zozote utakazokutana nazo; badala yake, zitazame kama fursa za kukua na kuboresha.

  1. Simplify 2^3 x 2^4. A. 2^7 B. 2^12 C. 4^7 D. 2^1 Answer: A
  2. Simplify 5^6 รท 5^2. A. 5^3 B. 5^4 C. 5^8 D. 1^4 Answer: B
  3. What is the value of 7^0? A. 0 B. 1 C. 7 D. 70 Answer: B
  4. What is the value of 2^-3? A. -8 B. -6 C. 1/8 D. 6 Answer: C
  5. Simplify (3^2)^3. A. 3^5 B. 3^6 C. 3^8 D. 9^3 Answer: B

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Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.

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Soma bila mtandao, wakati wowote, mahali popote
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Inapatikana kwenye programu ya Green Bridge

Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.

Maelezo kamili ya masomo yenye michoro
Msaidizi wa kujifunza wa AI
Soma bila mtandao, wakati wowote, mahali popote
Inapatikana kwa Android, Windows, macOS, na Linux

Fanya Mazoezi ya Maswali ya Majaribio

Ungependa kufanya mazoezi ya maswali ya majaribio kuhusu Indices I? Pakua programu ya Green Bridge CBT ili kupata maswali ya majaribio na tathmini kamili za mazoezi kuhusu mada hii.

Pakua Programu Kwenye Google Playstore

Kila kitu unachohitaji ili kufaulu katika JAMB, WAEC & NECO.

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Ratiba ya Daraja la Kijani
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