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
- 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)
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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.
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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 2^3 x 2^4. A. 2^7 B. 2^12 C. 4^7 D. 2^1 Answer: A
- Simplify 5^6 ÷ 5^2. A. 5^3 B. 5^4 C. 5^8 D. 1^4 Answer: B
- What is the value of 7^0? A. 0 B. 1 C. 7 D. 70 Answer: B
- What is the value of 2^-3? A. -8 B. -6 C. 1/8 D. 6 Answer: C
- Simplify (3^2)^3. A. 3^5 B. 3^6 C. 3^8 D. 9^3 Answer: B
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Vitabu Vinavyopendekezwa
Jifunze zaidi kutoka vyanzo huria
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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
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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
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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.
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