Home
Class 9
MATHS
Evaluate each of the following 5^2\xx\ 5...

Evaluate each of the following `5^2\xx\ 5^4` (ii) `(3^2)^3` ​ ​ ​

Text Solution

Verified by Experts

Solution:
Given
`(i)5^2\xx\ 5^4`
Using Identity
`a^x xx a^y = a^(x+y)`
`(i)5^2\xx\ 5^4`
`=5^2+4`
`=5^6`
`(ii)(3^2)^3`
Using identity
`(a^x)^y= a^(x xx y)`
`(3^2)^3`
`3^(2 xx 3)`
`=3^6`
Hence the answers are `5^6` and `3^6`.
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    RD SHARMA|Exercise All Questions|23 Videos

  • FACTORIZATION OF ALGEBRAIC EXPRESSIONS

    RD SHARMA|Exercise All Questions|226 Videos

Similar Questions

Explore conceptually related problems

Evaluate each of the following: 2/3-3/5 (ii) -4/7-2/(-3)

Evaluate each of the following: (i)5^(2)*5^(4) (ii) 5^(8)+5^(3)(iii)(3^(2))^(3)((11)/(12))^(3) (v) ((3)/(4))^(-3)

Find the value of n in each of the following: 5^(2n)xx5^3=5^(11) (ii) 9xx3^n=3^7

Evaluate each of the following : (i)2^(3)xx2^(2)" "(ii)3^(5)divide3^(2)" "(iii)(5^(2))^(3)" "(iv)((3)/(4))^(3)" "(v)((2)/(3))^(-3)" "(vi)2^(4)xx2^(-4)

Find the value of each of the following: (-3)^2 (ii) (-4)^3 (-5)^4

Find the value of each of the following: ((-1)/2)^2xx2^3xx(3/4)^2 (ii) ((-3)/5)^4xx(4/9)^4xx((-15)/(18))^2

Evaluate each of the following: (2)/(3)-(3)/(5) (ii) (4)/(7)-(2)/(-3)( iii) (4)/(7)-(-5)/(-7)

Find the value of n in each of the following: 2^(n-7)xx5^(n-4)=1250 (ii) 5^(n-2)xx3^(2n-3)=135

Find the value of each of the following: (-7)^2 (ii) (-3)^4 (iii) (-5)^5

Find the value of n in each of the following: (2^2)^n=(2^3)^4 (ii) 2^(5n)-:2^n=2^4 2^n^(-5)xx5^n^(-4)=5

RD SHARMA-EXPONENTS OF REAL NUMBER-All Questions
  1. Simplify: ((81)/(16))^(-3/4)xx[((25)/9)^(-3/2)-:(5/2)^(-3)]

    Text Solution

    |

  2. If x , y ,z are positive real numbers show that: sqrt(x^(-1)y)dotsqrt(...

    Text Solution

    |

  3. Evaluate each of the following 5^2\xx\ 5^4 (ii) (3^2)^3 ​ ​ ​

    Text Solution

    |

  4. Evaluate each of the following (i)((11)/(12))^3 (ii) (3/4)^(-3)

    Text Solution

    |

  5. Evaluate each of the following: (i) (2/(11))^4 xx ((11)/3)^2 xx (3/2)...

    Text Solution

    |

  6. Evaluate each of the following: (i)\ 2^(55)xx\ 2^(60)-\ 2^(97)xx\ 2^(...

    Text Solution

    |

  7. If a=2 and b=3 , then find the values of each of the following: a^a+b^...

    Text Solution

    |

  8. If a=2 and b=3 , then find the values of each of the following: (a/b)^...

    Text Solution

    |

  9. Simplify the following (ii)(3a^4b^3)(18 a^3b^5) (ii) (3a^7b^6)/(18 ...

    Text Solution

    |

  10. Simplify each of the following: (a)\ (7^n-3\ xx\ 7^(n+1))/(20\ xx\ 7^n...

    Text Solution

    |

  11. If (9^n\ xx\ 3^2\ xx\ (3^(-n/2))^(-2)-\ 27^n)/(3^(3m)\ xx\ 2^3)=1/(27)...

    Text Solution

    |

  12. Assuming that x is a positive real number and a , b , c are rational n...

    Text Solution

    |

  13. Assuming that x is a positive real number and a ,\ b ,\ c are rational...

    Text Solution

    |

  14. Assuming that x is a positive real number and a ,\ b ,\ c are rational...

    Text Solution

    |

  15. Assuming that x is a positive real number and a ,b , c are rational nu...

    Text Solution

    |

  16. If x is a positive real number and the exponents are rational number...

    Text Solution

    |

  17. Show that: (i) (x^(a(b-c)))/(x^(b(a-c)))-:((x^b)/(x^a))^c=1, (ii) (...

    Text Solution

    |

  18. Show that: 1/(1+x^(b-a)+x^(c-a))+1/(1+x^(a-b)+\ x^(c-b))+1/(1+x^(b-c)+...

    Text Solution

    |

  19. If a b c=1, show that 1/(1+a+b^(-1))+1/(1+b+c^(-1))+1/(1+c+a^(-1))=1

    Text Solution

    |

  20. Prove that: (a^(-1))/(a^(-1)+b^(-1))+(a^(-1))/(a^(-1)-b^(-1))=(2b^2)/(...

    Text Solution

    |