Home
Class 7
MATHS
Express each of the following in power n...

Express each of the following in power notation:
( i ) `frac(25)(36)`
( ii ) `frac(-27)(64)`
( iii ) `frac(-32)(243)`
( iv ) `frac(-1)(128)`

Text Solution

Verified by Experts

The correct Answer is:
(i) `(frac(5)(6))^(2)`
(ii) `(frac(-3)(4))^(3)`
(iii) `(frac(-2)(3))^(5)`
(iv) `(frac(-1)(2))^(7)`
Promotional Banner

Topper's Solved these Questions

  • EXPONENTS

    RS AGGARWAL|Exercise EXERCISE 5B|4 Videos

  • EXPONENTS

    RS AGGARWAL|Exercise EXERCISE 5C|21 Videos

  • EXPONENTS

    RS AGGARWAL|Exercise TEST PAPER-5|14 Videos

  • DECIMALS

    RS AGGARWAL|Exercise TEST PAPER-3(D)|5 Videos

  • FRACTIONS

    RS AGGARWAL|Exercise TEST PAPER-2|26 Videos

Similar Questions

Explore conceptually related problems

Express each of the following in power notation: (i) (25)/(36) (ii) (-27)/(64) (iii) (-32)/(243)

Express each of the following as a rational number: ( i ) (frac(2)(3))^(3) ( ii ) (frac(-8)(5))^(3) ( iii ) (frac(-13)(11))^(2) ( iv ) (frac(1)(6))^(3) ( v ) (frac(-1)(2))^(5) ( vi ) (frac(-3)(4))^(4) ( vii ) (frac(-4)(7))^(3) ( viii ) (-1)^(9)

EXAMPLE 2. Express each of the following rational number in exponential from: ( i ) frac(81)(256) ( ii ) frac(-32)(243) ( iii ) frac(-1)(343)

Write each of the following in power notation: ( i ) frac(5)(7)xxfrac(5)(7)xxfrac(5)(7)xxfrac(5)(7) ( ii ) (frac(-4)(3)) xx (frac(-4)(3)) xx (frac(-4)(3)) xx (frac(-4)(3)) xx (frac(-4)(3)) ( iii ) (frac(-1)(6)) xx (frac(-1)(6)) xx (frac(-1)(6)) ( iv ) (-8) xx (-8) xx (-8) xx (-8) xx (-8)

Write each of the following rational number in standard form: (i) frac(35)(49) (ii) frac(8)(-36) (iii) frac(-27)(45) (iv) frac(-14)(-49) (v) frac(91)(-78) (vi) frac(-68)(119) (vii) frac(-87)(116) (viii) frac(299)(-161)

Express each of the following as a rational number: ( i ) 5^(-3) ( ii ) (-2)^(-5) ( iii ) (frac(1)(4))^(-4) ( iv ) (frac(-3)(4))^(-3) ( v ) (-3)^(-1) xx (frac(1)(3))^(-1) ( vi ) (frac(5)(7))^(-1) xx (frac(7)(4))^(-1) ( vii ) (5^(-1)-7^(-1))^(-1) ( viii ) {(frac(4)(3))^(-1)-(frac(1)(4))^(-1)}^(-1) ( ix ) {(frac(3)(2))^(-1) div (frac(-2)(5))^(-1)} ( x ) (frac(23)(25))^(@)

Express each of the following as a rational number: ( i ) 4^(-3) ( ii ) (-3)^(-5) ( iii ) (frac(1)(2))^(-4) ( iv ) (frac(-2)(5))^(-3)

Write down the numerator and the denominator of each the of the following rational numbers: (i) frac (8)(19) (ii) frac(5)(-8) (iii) frac(-13)(15) (iv) frac(-8)(-11) (v) 9

Express each of the following rational numbers in power notation: (49)/(64) (ii) -(64)/(125) (iii) -1/(216)

Write each of the following as a rational number with positive denominator. (i) frac(12)(-17) (ii) frac(1)(-2) (iii) frac(-8)(-19) (iv) frac(11)(-6)

RS AGGARWAL-EXPONENTS -EXERCISE 5A
  1. Write each of the following in power notation: ( i ) frac(5)(7)xxfra...

    Text Solution

    |

  2. Express each of the following in power notation: ( i ) frac(25)(36) ...

    Text Solution

    |

  3. Express each of the following as a rational number: ( i ) (frac(2)(3...

    Text Solution

    |

  4. Express each of the following as a rational number: ( i ) (4)^(-1) ...

    Text Solution

    |

  5. Find the reciprocal of each of the following: ( i ) (frac(5)(8))^(4)...

    Text Solution

    |

  6. Find the value of each of the following: ( i ) 8^(@) ( ii ) (-3)^(...

    Text Solution

    |

  7. Simplify each of the following and express each as a rational number: ...

    Text Solution

    |

  8. Simplify each of the following as a rational number: ( i ) (frac(4)(...

    Text Solution

    |

  9. Express each of the following as a rational number: ( i ) 5^(-3) ( ...

    Text Solution

    |

  10. Simplify: ( i ) [{(frac(-1)(4))^(2)}^(-2)]^(-1) ( ii ) {(frac(-2)...

    Text Solution

    |

  11. By what number should (-5)^(-1) be multiplied so that the product is (...

    Text Solution

    |

  12. By what number should 3^(-3) be multiplied to obtain 4?

    Text Solution

    |

  13. By What number should (-30)^(-1) be divided to get 6^(-1) ?

    Text Solution

    |

  14. Find x such that (frac(3)(5))^(3) xx (frac(3)(5))^(-6)=(frac(3)(5))^(2...

    Text Solution

    |

  15. (3^5xx10^5xx25)/(5^7xx6^5)

    Text Solution

    |

  16. Simplify: frac(16 xx 2^(n+1)-4 xx 2^(n))(16 xx 2^(n+2)-2 xx 2^(n+2)).

    Text Solution

    |

  17. Find the value of n when: ( i ) 5^(2n) xx 5^(3)=5^(9) ( ii ) 8 xx...

    Text Solution

    |

  18. If 2^(n-7) xx 5^(n-4)=1250, find the value of n.

    Text Solution

    |