Evaluate: - 125 × 343 3 ( - 27 ) × ( - 64 ) 3

Given number is - 125 × 343 3 ( - 27 ) × ( - 64 ) 3 This can be written as, = ( - 125 ) 1 3 × ( 343 ) 1 3 ( - 27 ) 1 3 × ( - 64 ) 1 3 Evaluating using the properties of cube roots. - 125 × 343 3 ( - 27 ) × ( - 64 ) 3 = ( - 125 ) 1 3 × ( 343 ) 1 3 ( - 27 ) 1 3 × ( - 64 ) 1 3 = ( - 5 3 ) 1 3 × ( 7 3 ) 1 3 ( - 3 3 ) 1 3 × ( - 4 3 ) 1 3 = - 5 × 7 - 3 × - 4 = - 35 12 . Therefore, the value is - 35 12 .

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Step by Step>Chapter 4 - Cubes and Cube Roots>HOTS QUESTIONS

Jagat Jitendra Matto Solutions for Chapter: Cubes and Cube Roots, Exercise 3: HOTS QUESTIONS

Author:Jagat Jitendra Matto

Jagat Jitendra Matto Mathematics Solutions for Exercise - Jagat Jitendra Matto Solutions for Chapter: Cubes and Cube Roots, Exercise 3: HOTS QUESTIONS

Attempt the practice questions on Chapter 4: Cubes and Cube Roots, Exercise 3: HOTS QUESTIONS with hints and solutions to strengthen your understanding. Step by Step solutions are prepared by Experienced Embibe Experts.