Home
Class 8
MATHS
Simplify : (i)[(1/3)^(-3)-\ (1/2)^(-3)...

Simplify :
(i)`[(1/3)^(-3)-\ (1/2)^(-3)]-:(1/4)^(-3)`
(ii)`(2^2+\ 3^2-4^2)-:(3/2)^2`

Text Solution

Verified by Experts

(i)`[(1/3)^(-3)-\ (1/2)^(-3)]-:(1/4)^(-3)`
`=27-8 xx 64`
`=19/64`

(ii)`(2^2+\ 3^2-4^2)-:(3/2)^2`
`= (-3) xx4/9`
`=(-4)/3`
Hence simplified.
Promotional Banner

Topper's Solved these Questions

  • PLAYING WITH NUMBERS

    RD SHARMA|Exercise All Questions|57 Videos

  • PRACTICAL GEOMETRY (CONSTRUCTIONS)

    RD SHARMA|Exercise All Questions|40 Videos

Similar Questions

Explore conceptually related problems

Simplify: {(1/3)^(-3)-\ (1/2)^(-3)}-:(1/4)^(-3)

Simplify: {(1/3)^(-3)-\ (1/2)^(-3)}-:(1/4)^(-3)

Simplify : (1/4)^(-2)+\ (1/2)^(-2)+(1/3)^(-2)

Simplify: {(1/3)^(-3)-\ (1/2)^(-3)}-:(1/4)^(-3) (3^2-\ 2^2)x\ (2/3)^(-3) {(1/2)^(-1)x\ (-4)^(-1)}^(-1) [{((-1)/4)^2}^(-2)]^(-1) {(2/3)^2}^3x\ (1/3)^(-4)x\ 3^(-1)x\ 6^(-1)

Simplify: {(1/3)^(-3)-\ (1/2)^(-3)}-:(1/4)^(-3) (3^2-\ 2^2)x\ (2/3)^(-3) {(1/2)^(-1)x\ (-4)^(-1)}^(-1) [{((-1)/4)^2}^(-2)]^(-1) {(2/3)^2}^3x\ (1/3)^(-4)x\ 3^(-1)x\ 6^(-1)

Simplify: {(1/3)^(-3)-\ (1/2)^(-3)}-:(1/4)^(-3) (3^2-\ 2^2)x\ (2/3)^(-3) {(1/2)^(-1)x\ (-4)^(-1)}^(-1) [{((-1)/4)^2}^(-2)]^(-1) {(2/3)^2}^3x\ (1/3)^(-4)x\ 3^(-1)x\ 6^(-1)

Simplify: [1/2^(2)-1/4^(3)]^-1xx2^(-3)

Simplify: (3x+2)(2x+3)-(4x-3)(2x-1)

Simplify : 4 2/3+1/3-4 1/3

Simplify: (i) 2^(3)times(-1/2)^(3)times(3/4)^(2)

RD SHARMA-POWERS-All Questions
  1. Simplify : (i)(4^(-1)xx\ 3^(-1))^2 (ii) (5^(-1)-:6^(-1))^3 (iii)...

    Text Solution

    |

  2. Simplify : (i)(3^2+2^2)xx\ (1/2)^3 (ii) (3^2-\ 2^2)xx\ (2/3)^(-3)

    Text Solution

    |

  3. Simplify : (i)[(1/3)^(-3)-\ (1/2)^(-3)]-:(1/4)^(-3) (ii)(2^2+\ 3^2...

    Text Solution

    |

  4. By what number should 5^(-1)be multiplied so that the product may be e...

    Text Solution

    |

  5. By what number should (1/2)^(-1)be multiplied so that the product may ...

    Text Solution

    |

  6. By what number should (15)^(-1) be divided so that the quotient may be...

    Text Solution

    |

  7. Using the laws exponents, simplify each of the following and express i...

    Text Solution

    |

  8. Using the laws of exponents simplify and express each of the exponenti...

    Text Solution

    |

  9. Using the laws of exponents simplify and express each of the exponen...

    Text Solution

    |

  10. Using the laws of exponents simplify and express each of the exponen...

    Text Solution

    |

  11. Using the laws of exponents simplify and express each of the expone...

    Text Solution

    |

  12. Using the laws of exponents simplify and express each of the exponen...

    Text Solution

    |

  13. Using the laws of exponents simplify and express each of the exponen...

    Text Solution

    |

  14. Simplify and write the answer in the exponential form : (i)(2^5-:2^...

    Text Solution

    |

  15. Simplify each of the following : [{((-1)/5)^(-2)}^2]^(-1)\ (ii) ...

    Text Solution

    |

  16. Simplify : (i)(5/8)^(-7)xx (8/5)^(-5) (ii) ((-2)/3)^(-2)xx(4/5)^(-3...

    Text Solution

    |

  17. (8^(-1)times(5)^(3))/(2^(-4))

    Text Solution

    |

  18. Simplify : (25\ xx\ a^(-4))/(5^(-3)\ xx\ 10\ xx\ a^(-8)) (ii) (3^(...

    Text Solution

    |

  19. By what number should(-4)^(-2) be multiplied so that the product may b...

    Text Solution

    |

  20. By what number should (-12)^(-1) be divided so that the quotient mat b...

    Text Solution

    |