Home
Class 9
MATHS
The value of {(23+2^2)^(2/3)+\ (140-19)^...

The value of `{(23+2^2)^(2/3)+\ (140-19)^(1/2)}^2` , is 196 (b) 289 (c) 324 (d) 400

Text Solution

Verified by Experts

`(23 + 2^2)^2/3 `
` (23 + 4)^2/3`
`(27)^2/3 `
`3^(3xx2/3 )`
` 3^2`
` 9`
` (140 – 19)^1/2 `
`(121)^1/2 `
`11`
` {(23 + 22)^2/3 + (140 – 19)^1/2}^2 `
` (9 + 11)^2
202`
`400`
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

If a+b+c =0, then the value of frac(a^2 +b^2+c^2) (a^2 - bc) is (A) 0 (B) 1 (C) 2 (D) 3

The value of ((2.3)^(3)-.027)/((2.3)^(2)+.69+.09) is (a) 0 (b) 1.6(c)2(d)3.4 is (a)0(b)

What is the value of [(2.3)^(3) – (1.7)^(3)] / [(2.3)^(2) + (2.3 xx 1.7) + (1.7)^(2)] ?

The minimum value of 2^((x^(2)-3)^(3)+27) is 2^(27) (b) 2 (c) 1 (d) none of these

The value of ((2.3)^(3)-0.027)/((2.3)^(2)+0.69+0.09) is 2(b)3(c)2.327(d)2.273

The value of tan^(2)(sec^(-1)3)+cot^(2)(cos ec^(-1)4) is (A) 9(B)16(C)25 (D) 23

The value of 2(19)/(100) in decimal form is: 2.19 (b) 2.019 (c) 0.219 (d) 21.9

The value of sum_(r=0)^(20)r(20-r)(^(20)C_(r))^(2) is equal to 400^(39)C_(20) b.400^(40)C_(19) c.400^(39)C_(19) d.400^(38)C_(20)

RD SHARMA-EXPONENTS OF REAL NUMBER-All Questions
  1. Which one of the following is not equal to ((100)/9)^(-3/2) ? (a)\ (9/...

    Text Solution

    |

  2. When simplified (256)^-(4^((-3//2)\ )) is 8 (b) 1/8 (c) 2 (d) 1...

    Text Solution

    |

  3. (5^(n+2) −6 xx 5^(n+1))/(3 xx 5^n − 2xx 5^(n+1)) is equal to ...

    Text Solution

    |

  4. If a ,\ b ,\ c are positive real numbers, then sqrt(a^(-1)b)\ xx\ sqrt...

    Text Solution

    |

  5. If (3^(2x-8))/(225)=(5^3)/(5^x) , then x= 2 (b) 3 (c) 5 (d) 4

    Text Solution

    |

  6. If (2/3)^x\ \ (3/2)^(2x)=(81)/(16), . then x= 2 (b) 3 (c) 4 (d)...

    Text Solution

    |

  7. If a ,\ b ,\ c are positive real numbers, then root(5)(3125\ a^(10)b^5...

    Text Solution

    |

  8. The value of 64^(-1/3)\ (64^(1/3)-64^(2/3)), is 1 (b) 1/3 (c) -...

    Text Solution

    |

  9. If sqrt(5^n)=125 , then 5^(nsqrt64 )= 25 (b) 1/(125) (c) 625 (d)...

    Text Solution

    |

  10. If (16)^(2x+3)=(64)^(x+3), then 4^(2x-2)=64(b) 256 (c) 32 (d) 512

    Text Solution

    |

  11. If a ,\ m ,\ n are positive integers, then {root(m)(sqrt a)}^(m n) is ...

    Text Solution

    |

  12. If 2^(-m)\ xx1/(2^m)=1/4, then 1/(14)\ {(4^m)^(1//2)+\ (1/(5^m))^(-1)}...

    Text Solution

    |

  13. If x=2\ \ and y=4, then (x/y)^(x-y)+\ (y/x)^(y-x)=

    Text Solution

    |

  14. The value of m for which [{(1/(7^2))^(-2)}^(-1/3)]^(1/4)=7^m ,

    Text Solution

    |

  15. If (2^(m+n))/(2^(m-n))=16 and a=2^(1/10) then ((a^(2m+n-p))^2)/((a^(m-...

    Text Solution

    |

  16. The value of {(23+2^2)^(2/3)+\ (140-19)^(1/2)}^2 , is 196 (b) 289 (c...

    Text Solution

    |

  17. If\ \ sqrt(2^n)=1024 ,\ \ then 3^(2(n/4-4))= 3 (b) 9 (c) 27 (d) ...

    Text Solution

    |

  18. If (3^(5x)\ xx\ 81^2\ xx\ \ 6561)/(3^(2x))=3^7, then x= (a)\ 3 (b) ...

    Text Solution

    |

  19. State the quotient law of exponents

    Text Solution

    |

  20. The value of "{"8^(-4/3)-:2^(-2)")"^(1/2) is (a)1/2 (b) 2 (c) 1/4 (d...

    Text Solution

    |