Home
Class 9
MATHS
If a=2 and b=3, then find the values of ...

If `a=2 and b=3,` then find the values of each of the following: (i) `a^a+b^b` (ii) `a^b+b^a` (iii) `a^b` `(a/b)^a` (iv) `(1/a+1/b)^a`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    RD SHARMA ENGLISH|Exercise All Questions|23 Videos

  • FACTORIZATION OF ALGEBRAIC EXPRESSIONS

    RD SHARMA ENGLISH|Exercise All Questions|226 Videos

Similar Questions

Explore conceptually related problems

If a=2 and b=3 , then find the values of each of the following: (a) a^a+b^b (b) a^b+\ b^a (c) a^b

If a=2 and b=3 then find the values of each of the following (i) a^a + b^b (ii) a^b + b^a (iii) a^b (iv) (a/b)^a (v) (1/a +1/b)^a (vi) (ab)^b

If a=2\ a n d\ b=3, then find the value of each of the following: (i) (b/a)^b (ii) (a/b+b/a)^a

If a=2\ a n d\ b=3, then find the value of each of the following: (i)(a+b)^a (ii) (a b)^b

If a=2 and b=3 , then find the values of each of the following: (a) (a/b)^a (b) (1/a+1/b)^a

If a=2 and b=3 , then find the values of each of the following: (a) (a/b)^a (b) (1/a+1/b)^a

Factorize each of the following expressions : (i) a^6-b^6 (ii) a^6+b^6 (iii) a^7+a b^6

If a=3\ \ a n d\ b=-2\ , find the values of: (i)\ a^a+b^b (ii)\ a^b+b^a (iii)\ (a+b)^(a b)

If a=2 and b=-2, find the value of : (i) a^(2)+b^(2) (ii) a^(2)+ab+b^(2) (iii) a^(2)-b^(2)

Find the value of the following expressions for a=3, b=2. (i) a+b (ii) 7a-4b (iii) a^2+2ab+b^2 (iv) a^3-b^2

RD SHARMA ENGLISH-EXPONENTS OF REAL NUMBER-All Questions
  1. Evaluate each of the following: (i)5^2*5^4 (ii) 5^8+5^3 (iii) (3...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Assuming that x , y are positive real numbers, simplify each of the fo...

    Text Solution

    |

  5. Simplify : ((25)^(3/2)*(243)^(3/5))/((16)^(5/4)*(8)^(4/3))

    Text Solution

    |

  6. Simplify: ((81)/(16))^(-3/4)*[((25)/9)^(-3/2)-:(5/2)^(-3)]

    Text Solution

    |

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

    Text Solution

    |

  8. Evaluate each of the following (i) 5^2 x 5^4 (ii) 5^8 divide 5^3 (i...

    Text Solution

    |

  9. Evaluate each of the following (i) (2/11)^4 x (11/3)^2 x (3/2)^3 (ii...

    Text Solution

    |

  10. If a=2 and b=3 then find the values of each of the following (i) a^a...

    Text Solution

    |

  11. Evaluate each of the following removing radical sign and negative indi...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Simplify the following (i) (3a^4b^3)(18 a^3b^5) (ii) (3a^7b^6)/(1...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |