Mathematics Specification A - 4MA1 PearsonEdexcel

Powers And Roots

Gbogbo ọrọ náà

Powers and roots give you a compact way to express repeated multiplication and to reverse it. From squaring a side length to find an area, to using index laws to simplify algebraic expressions, these skills run through almost every topic in the Edexcel IGCSE specification.

You will build fluency with squares, cubes and their roots, master the index laws for integer powers, and learn to decompose numbers into prime factors for finding HCF and LCM. Higher tier students will extend this to surds and fractional indices.

Ebumnobi

  1. Identify square numbers and cube numbers
  2. Calculate squares, square roots, cubes and cube roots
  3. Use index notation and index laws for multiplication and division of positive and negative integer powers including zero
  4. Express integers as a product of powers of prime factors
  5. Find highest common factors (HCF) and lowest common multiples (LCM)
  6. [Higher] Understand the meaning of surds
  7. [Higher] Manipulate surds, including rationalising a denominator
  8. [Higher] Use index laws to simplify and evaluate numerical expressions involving integer, fractional and negative powers

Akọmọ Ojú-ẹkọ

Every time you calculate the area of a square or the volume of a cube, you are using powers. Every time you reverse that calculation to find a side length, you are using roots. These two ideas, raising to a power and extracting a root, are mirror images of each other, and the index laws that govern them unlock shortcuts across algebra, number theory and beyond.

Ọ dị na ngwa Green Bridge

Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.

Akwụkwọ ndụmọdụ zuru oke nwere eserese
Onye inyeaka mmụta AI
Mụọ n'ụzọ na-enweghị ịntaneti, oge ọbụla, ebe ọbụla
Ọ dị na Android, Windows, macOS, na Linux

Ayẹwo Ẹkọ

Ekele diri gi maka imecha ihe karịrị na Powers And Roots. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.

Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.

Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.

  1. What is the value of 2^(-3)? A) -8 B) -6 C) 1/8 D) 8 Answer: C
  2. Which of the following is a cube number? A) 16 B) 36 C) 64 D) 100 Answer: C
  3. Simplify 5^3 x 5^4. A) 5^7 B) 5^12 C) 25^7 D) 5^1 Answer: A
  4. What is the value of 9^(1/2)? A) 4.5 B) 3 C) 18 D) 81 Answer: B
  5. What is the HCF of 48 and 84? A) 4 B) 6 C) 12 D) 24 Answer: C

Ọ dị na ngwa Green Bridge

Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.

Akwụkwọ ndụmọdụ zuru oke nwere eserese
Onye inyeaka mmụta AI
Mụọ n'ụzọ na-enweghị ịntaneti, oge ọbụla, ebe ọbụla
Ọ dị na Android, Windows, macOS, na Linux

Ọ dị na ngwa Green Bridge

Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.

Akwụkwọ ndụmọdụ zuru oke nwere eserese
Onye inyeaka mmụta AI
Mụọ n'ụzọ na-enweghị ịntaneti, oge ọbụla, ebe ọbụla
Ọ dị na Android, Windows, macOS, na Linux

Meecha Ajụjụ Ule Ọmarịcha

Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Powers And Roots? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.

Dawunlodi Ẹpp naa lori Google Playstore.

Ihe nile ichoro iji nwee ihe ịga nke ọma na JAMB, WAEC & NECO.

Green Bridge CBT Mobile App
Personalized AI Ẹ̀kọ́ Ọ̀rọ̀ Alábàápàdé.
Egbò ọdúnrún IGCSE, JAMB, WAEC & NECO Ajùmọ̀ṣe ìbéèrè ti kọjá.
Ihe karịrị 1200 Nkọwa Nkuzi
Tallafi Ba Tare da Layin Intanet Ba - Koyi Duk Lokaci, Ko'ina
Jadawalin Gada Kore
Akọkọ akọle iwe & Ibeere agbara
Sọfụma Ọrụ Gi & Ọganihu Gi
Ìtọ́jú Ìtúmọ̀ fún Ẹ̀kọ́ Alábáyọrí.