Home
Class 14
MATHS
Evaluate the following: (3/4)^2...

Evaluate the following:
`(3/4)^2`

Text Solution

AI Generated Solution

The correct Answer is:
To evaluate the expression \( \left(\frac{3}{4}\right)^2 \), we can follow these steps: ### Step 1: Write the expression We start with the expression: \[ \left(\frac{3}{4}\right)^2 \] ### Step 2: Apply the exponent When squaring a fraction, we square both the numerator and the denominator: \[ \left(\frac{3}{4}\right)^2 = \frac{3^2}{4^2} \] ### Step 3: Calculate the squares Now, we calculate the squares of the numerator and the denominator: - The square of 3 is \( 3^2 = 9 \) - The square of 4 is \( 4^2 = 16 \) Putting these values into the fraction gives: \[ \frac{3^2}{4^2} = \frac{9}{16} \] ### Step 4: Final answer Thus, the value of \( \left(\frac{3}{4}\right)^2 \) is: \[ \frac{9}{16} \] ---
Promotional Banner

Topper's Solved these Questions

  • FUNDAMENTALS

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 1.1|34 Videos
  • FUNDAMENTALS

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 1.2|16 Videos
  • FUNCTIONS AND GRAPH

    ARIHANT SSC|Exercise Final Round|40 Videos
  • GEOMETRY

    ARIHANT SSC|Exercise EXERCISE(LEVEL 2)|52 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following: 4!-3!

Evaluate the following : int (x-4)^3/x^2 dx.

Evaluate the following: 6(-4)-2[(-7+5)+(-3)-5]

Evaluate the following : (1/2)^5*((-2)/3)^4*(3/5)^(-1)

Evaluate the following : |-(2)/(3)+(4)/(5)| |(-2)/(3)times(-1)/(2)|

Evaluate the following: |[1^2, 2^2, 3^2],[2^2, 3^2, 4^2],[3^2, 4^2, 5^2]|

Evaluate the following : sin { 1/2 cot^(-1) . ((-3)/4)}

Evaluate the following : [ [1, 2, 3]] [[2],[4],[6]]

Evaluate the following : [[1,3],[2,1]][[4],[-1]]

Evaluate the following: |[3,-4,5],[1,1,-2],[2,3,1]|

ARIHANT SSC-FUNDAMENTALS -TEST OF YOU - LEARNING - 2
  1. Evaluate the following: (3/4)^2

    Text Solution

    |

  2. The remainder when 888222888222888222… upto 9235 digits is divided by ...

    Text Solution

    |

  3. Shankuntala asked Aryabhatta to assume any two values of three digits ...

    Text Solution

    |

  4. Shankuntala asked Aryabhatta to assume any two values of three digits ...

    Text Solution

    |

  5. The sum of the following series (1^2 +1) + (2^2 + 2) + (3^2 + 3) + (...

    Text Solution

    |

  6. Find a fraction which shall bear the same ratio to 1/27 that 3/5 does ...

    Text Solution

    |

  7. Three times the cube of a number is seven times the other number. What...

    Text Solution

    |

  8. 40% of a number is equal to three fourth's of another number. What is ...

    Text Solution

    |

  9. In a class of 60 students, each student got sweets that are 15% the to...

    Text Solution

    |

  10. Under the scheme of Kisan Vikas, the Govt. of U.P. purchased 't' numbe...

    Text Solution

    |

  11. Under the scheme of Kisan Vikas, the Govt. of U.P. purchased 't' numbe...

    Text Solution

    |

  12. If 2^n can exactly divide p! such that the quotient is an odd positive...

    Text Solution

    |

  13. A shopkeeper bought 72 oranges for 324. He sold 50 of them at rs 6 eac...

    Text Solution

    |

  14. In the above question number 12, the minimum number of xi (i.e, x1, x2...

    Text Solution

    |

  15. In an examination 90% of the student passed and 240 failed. How many s...

    Text Solution

    |

  16. If m + n = mn - 5, then the maximum number of ordered pairs of (m,n) f...

    Text Solution

    |

  17. At the eve of marriage anniversary of Tristan and lseult some special ...

    Text Solution

    |

  18. The number of numbers less than or equal to 666 which are the products...

    Text Solution

    |

  19. Tata, Hutch and Idea started of with a same. The rule is that the lose...

    Text Solution

    |

  20. When N is divided by 4, the remainder is 3. What is the remainder when...

    Text Solution

    |

  21. All the soldiers are arranged in the form of an equilateral triangle i...

    Text Solution

    |