Indices I
Akopọ
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.
Awọn Afojusun
- 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)
Ẹ̀kọ́ Ohùn
Gbọ́ ẹ̀kọ́ yìí nínú áàpù
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Káàdì ìrántí
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Ìdánwò Ẹ̀kọ́
Oriire fun ipari ẹkọ lori Indices I. 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.
- 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
Ṣiṣẹ́ lórí àwọn ìbéèrè wọ̀nyí nínú ohun èlò náà
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Awọn Iwe Itọsọna Ti a Gba Nimọran
Ẹ̀kọ́ síwájú láti àwọn orísun ṣíṣí
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Abala ìwé ẹ̀kọ́
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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Abala ìwé ẹ̀kọ́
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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Ṣe Adaṣe Awọn Ibeere Idanwo Adaṣe
Ṣe o fẹ ṣe adaṣe awọn ibeere idanwo adaṣe nipa Indices I? 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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