Indices II
Bayani Gaba-gaba
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.
Manufura
- 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)
Darasin Sauti
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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.
- 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
Yi aikin wadannan tambayoyi a cikin manhaja
Yi aikin wadannan tambayoyi a cikin manhaja
Littattafan da ake ba da shawarar karantawa
Ƙarin koyo daga tushe na buɗe
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Sashen littafi
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
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Sashen littafi
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
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Yi Aikin Tambayoyin Gwaji
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