Home
Class 11
MATHS
Prove the rule of exponents (ab)^(n) = a...

Prove the rule of exponents `(ab)^(n) = a^(n)b^(n)` by using principle of mathematical induction for every natural number.

Promotional Banner

Topper's Solved these Questions

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    NCERT BANGLISH|Exercise EXERCISE - 4.1|24 Videos

  • PERMUTATIONS AND COMBINATIONS

    NCERT BANGLISH|Exercise Miscellaneous Exercise on Chapter 7|11 Videos

  • PROBABILITY

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISEON CHAPTER 25|1 Videos

Similar Questions

Explore conceptually related problems

Using principle of mathematical induction prove that sqrtn = 2 .

Using principle of mathematical induction prove that 2^(3n)-1 is divisible by 7 .

Using the principle of mathematical induction prove that 41^n-14^n is a multiple of 27 .

By the principle of mathematical induction prove that 1+2+3+4+…n= (n(n+1))/2

Prove that by using the principle of mathematical induction for all n in N : (2n+7) lt (n+3)^(2)

Prove the following by using the principle of mathematical induction for all n in N : (2n+7)<(n+3)^2 .

By ........in "Principle of Mathematical Induction" prove that for all n in N 3^n >2^n

Prove that by using the principle of mathematical induction for all n in N : n(n+1)(n+5) is a multiple of 3

Prove that by using the principle of mathematical induction for all n in N : 41^(n)-14^(n) is multiple of 27

Prove that by using the principle of mathematical induction for all n in N : 10^(2n-1)+1 is divisible by 11

NCERT BANGLISH-PRINCIPLE OF MATHEMATICAL INDUCTION-EXERCISE - 4.1
  1. Prove the rule of exponents (ab)^(n) = a^(n)b^(n) by using principle o...

    Text Solution

    |

  2. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  3. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  4. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  5. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  6. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  7. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  8. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  9. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  10. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  11. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  12. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  13. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  14. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  15. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  16. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  17. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  18. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  19. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  20. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  21. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |