Home
Class 7
MATHS
x^(m)xx x^(n)=x^(m+n), where x is a non ...

`x^(m)xx x^(n)=x^(m+n)`, where x is a non zero rational number and m,n are positive integers.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • EXPONENTS AND POWERS

    NCERT EXEMPLAR|Exercise THINK AND DISCUSS|7 Videos
  • DATA HANDLING

    NCERT EXEMPLAR|Exercise THINK AND DISCUSS |3 Videos
  • FRACTIONS AND DECIMALS

    NCERT EXEMPLAR|Exercise EXERCISE (FIND THE ERROR)|3 Videos

Similar Questions

Explore conceptually related problems

State True or False : x^(m)+x^(m)=x^(2m) , where x is a non zero rational number and m is a positive integer.

State True or False : x^(m)xxy^(m)=(x xxy)^(2m) , where x and y are non zero rational numbers and m is a positive integer.

x^(m)-:y^(m)=(x-:y)^(m) , where x and y are non zero rational numbers and m is a positive integer.

Consider the function f defined by f(x)=(0,x=0 or x is irrational (1)/(n), where x is a non zero rational number (m)/(n),n>0 and (m)/(n) is in lowest term which of the following statements is true?

First law If a is a non-zero rational number and mn are integers then a^(m)a^(n)=a^(m+n)

One of the roots of the equation 2000x^6 +100x^5 +10x^3+x-2=0 is the form (sqrt(m)-n))/( r) , where m is non zero integer and n and r are relatively prime natural numbers. Find the value of m+n+r .

Sixth law If ab are non-zero rational numbers and n is a positive integer then ((a)/(b))^(-n)=((b)/(a))^(n)

Let p and q be non-zero integers. Consider the polynomial A(x)=x^(2)+px+q It is given that (x-m) and (x-km) are simple factors of A(x), where m is a non-zero integer and k is a positive integer, k ge 2 . Which one of the following is correct?

n|sin x|=m|cos|in[0,2 pi] where n>m and are positive integers

Solve (x-1)^(n)=x^(n), where n is a positive integer.

NCERT EXEMPLAR-EXPONENTS AND POWERS-EXERCISE
  1. State True or False : x^(m)xxy^(m)=(x xxy)^(2m), where x and y are non...

    Text Solution

    |

  2. x^(m)-:y^(m)=(x-:y)^(m), where x and y are non zero rational numbers a...

    Text Solution

    |

  3. x^(m)xx x^(n)=x^(m+n), where x is a non zero rational number and m,n a...

    Text Solution

    |

  4. State True or False : 4^(9) is greater than 16^(3)

    Text Solution

    |

  5. State True or False : (2/5)^(3)-:(5/2)^(3)=1

    Text Solution

    |

  6. State True or False : (4/3)^(5)xx(5/7)^(5)=(4/3+5/7)^(5)

    Text Solution

    |

  7. State True or False : (5/8)^(9)-:(5/8)^(4)=(5/8)^(4)

    Text Solution

    |

  8. State True or False : (7/3)^(2)xx(7/3)^(5)=(7/3)^(10)

    Text Solution

    |

  9. State True or False : 5^(@)xx25^(@)xx125^(@)=(5^(@))^(6)

    Text Solution

    |

  10. State True or False : 876543=8xx10^(5)+7xx10^(4)+6xx10^(3)+5xx10^(2)+4...

    Text Solution

    |

  11. State True or False : 600060=6xx10^(5)+6xx10^(2)

    Text Solution

    |

  12. State True or False : 4xx10^(5)+3xx10^(4)+2xx10^(3)+1xx10^(@)=432010

    Text Solution

    |

  13. State True or False : 8xx10^(6)+2xx10^(4)+5xx10^(2)+9xx10^(@)=8020509

    Text Solution

    |

  14. State True or False : 4^(@)+5^(@)+6^(@)=(4+5+6)^(@)

    Text Solution

    |

  15. Arrange in ascending order: 2^(5),3^(3),2^(3)xx2,(3^(3))^(2),3^(5),4...

    Text Solution

    |

  16. Arrange in descending order: 2^(2+3),(2^(2))^(3),2xx2^(2),(3^(5))/(3...

    Text Solution

    |

  17. By what number should (-4)^(5) be divided so that the quotient may be ...

    Text Solution

    |

  18. Find m so that (2/9)^(3)xx(2/9)^(6)=(2/9)^(2m-1)

    Text Solution

    |

  19. If p/q=(3/2)^(2)-:(9/4)^(@), find the value of (p/q)^(3)

    Text Solution

    |

  20. Find the reciprocal of the rational number (1/2)^(2)-:(2/3)^(3)

    Text Solution

    |