Indices II
Muhtasari
Indices, or powers, are a compact way to write repeated multiplication. Instead of \(2 \times 2 \times 2 \times 2 \times 2\) we write \(2^5\). The real power of indices comes from a small set of rules that let you multiply, divide and raise powers without ever writing them out in full.
In this lesson you will learn the laws of indices, then make sense of powers that are zero or negative, and at Extended level fractional powers that stand for roots. With these rules you can simplify expressions, rewrite roots as powers, and tackle the index work that runs through algebra and standard form.
Malengo
- Understand and use indices (positive, zero and negative integers).
- Understand and use the rules of indices.
- Understand and use indices (positive, zero, negative and fractional). (Extended only)
Somo la Sauti
Sikiliza somo hili kwenye programu
Ramani ya mawazo
Mada hii imechorwa ili uone jinsi mawazo yanavyounganika.
Fungua ramani ya mawazo kwenye programu
Kadi za kumbukumbu
Mazoezi ya haraka ya kumbukumbu kuhusu kinachopimwa katika mada hii.
Fanya mazoezi ya kadi hizi kwenye programu
Maelezo ya Somo
Dokezo Kamili la Somo Linapatikana kwenye Programu ya Green Bridge
Pata programu ya Green Bridge CBT kwenye simu au kompyuta yako kwa maktaba kamili ya IGCSE: mitihani ya miaka iliyopita, miongozo ya usahihishaji, ramani za mawazo, kadi za marudio na masomo ya sauti.
Tathmini ya Somo
Hongera kwa kukamilisha somo la Indices II. 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.
- Simplify x^5 times x^2. A. x^3 B. x^7 C. x^10 D. 2x^7 Answer: B
- What is the value of 5^0? A. 0 B. 1 C. 5 D. undefined Answer: B
- What is the value of 2^(-3)? A. -8 B. -6 C. 1/8 D. 1/6 Answer: C
- What is the value of 9^(1/2)? A. 3 B. 4.5 C. 18 D. 81 Answer: A
- What is the value of 8^(2/3)? A. 2 B. 4 C. 16 D. 64 Answer: B
Fanyia kazi maswali haya kwenye programu
Fanyia kazi maswali haya kwenye programu
Vitabu Vinavyopendekezwa
Jifunze zaidi kutoka vyanzo huria
-
Sehemu ya kitabu
Exponents and Scientific Notation
Use the product rule of exponents.
"Algebra and Trigonometry: Exponents and Scientific Notation" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/algebra-and-trigonometry/pages/1-2-exponents-and-scientific-notation. Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction
-
Sehemu ya kitabu
Integer Exponents and Scientific Notation
Use the definition of a negative exponent
"Elementary Algebra: Integer Exponents and Scientific Notation" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/elementary-algebra/pages/6-7-integer-exponents-and-scientific-notation. Access for free at https://openstax.org/books/elementary-algebra/pages/1-introduction
Vimechapishwa na mashirika mengine chini ya leseni huria na vinatajwa kama wanavyoomba. Viungo hufungua tovuti zao.
Fanya Mazoezi ya Maswali ya Majaribio
Ungependa kufanya mazoezi ya maswali ya majaribio kuhusu Indices II? 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.
