Maths-
General
Easy

Question

Given 8712 = 2x × 3y × 11z .Find the numerical values of x,y and z. Also find the value of 3x × 2y × 7-z ?

hintHint:

In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as an, where a is called the base and n is its power/ exponent.
an = a × a × ... × a n times.

The correct answer is: Value of 3x × 2y × 7-z for the given equation is 108/49.


    Step-by-step solution:-
    8712 = 2x × 3y × 11z
    ∴ 23 × 32 × 112 = 2x × 3y × 11z …....................... (Factorizing 8712)
    By comparizon, we get-
    x = 3, y = 2 & z = 2
    Also, 3x × 2y × 7-z = 33 × 22 × 7-2
    = 27 × 4 × 1/72 ................................ (b-n = 1/bn)
    = 27 × 4 / 49
    = 108 / 49
    Final Answer:-
    ∴ Value of 3x × 2y × 7-z for the given equation is 108/49.

    Related Questions to study

    General
    Maths-

    The perimeter of a rectangle is 26 cm. The length and the breadth of the rectangle are integers. Find the number of possible pairs of length and breadth. Also find the maximum possible area of the rectangle.

    The perimeter of a rectangle is 26 cm. The length and the breadth of the rectangle are integers. Find the number of possible pairs of length and breadth. Also find the maximum possible area of the rectangle.

    Maths-General
    General
    Maths-

    Evaluate as a fraction (64 / 27)2/3 − (1/9)−2 + 90

    Evaluate as a fraction (64 / 27)2/3 − (1/9)−2 + 90

    Maths-General
    General
    Maths-

    Simplify:
    41/3 (21/3 × 31/2) ÷ 91/4

    Simplify:
    41/3 (21/3 × 31/2) ÷ 91/4

    Maths-General
    parallel
    General
    Maths-

    Simplify:
    (64 / 125)−2/3 ÷ (625 / 256)1/4 × (−6)0

    Simplify:
    (64 / 125)−2/3 ÷ (625 / 256)1/4 × (−6)0

    Maths-General
    General
    Maths-

    Solve for x-
    (3/5)(x+1)/3 = 625 / 81

    Solve for x-
    (3/5)(x+1)/3 = 625 / 81

    Maths-General
    General
    Maths-

    Solve for x-
    (3/7)(1−2x)/2 = 12 19/27

    Solve for x-
    (3/7)(1−2x)/2 = 12 19/27

    Maths-General
    parallel
    General
    Maths-

    The floor of a study room is in the shape of a rectangle, it is 12 ft long and 10 ft wide. How many tiles with 2 ft × 2 ft are required to cover the floor of the room?

    The floor of a study room is in the shape of a rectangle, it is 12 ft long and 10 ft wide. How many tiles with 2 ft × 2 ft are required to cover the floor of the room?

    Maths-General
    General
    Maths-

    Solve for x∶
    8 × 22x + 4 × 2x+1 = 1 + 2x

    Solve for x∶
    8 × 22x + 4 × 2x+1 = 1 + 2x

    Maths-General
    General
    Maths-

    The perimeter of a rectangle is 30 cm. The length and breadth of the rectangle are integers in cm. Find the number of possible pairs of length and breadth in cm.

    The perimeter of a rectangle is 30 cm. The length and breadth of the rectangle are integers in cm. Find the number of possible pairs of length and breadth in cm.

    Maths-General
    parallel
    General
    Maths-

    Identify the correct congruence statement

    Identify the correct congruence statement

    Maths-General
    General
    Maths-

    Find the area and the perimeter of a square room , the length of whose diagonal is 15 cm . Give your answer to three significant figures.

    Find the area and the perimeter of a square room , the length of whose diagonal is 15 cm . Give your answer to three significant figures.

    Maths-General
    General
    Maths-

    The identical rectangles of dimensions 12 cm x10 cm are overlapping. The over lapped part is a square of side 2 cm. Find the area of it.

    The identical rectangles of dimensions 12 cm x10 cm are overlapping. The over lapped part is a square of side 2 cm. Find the area of it.

    Maths-General
    parallel
    General
    Maths-

    Solve for x & y:
    7x - y = 49 ,7x + y = 343

    Solve for x & y:
    7x - y = 49 ,7x + y = 343

    Maths-General
    General
    Maths-

    A table cover of 4 m x 2m is spread on a meeting table. If 25 cm table cover is hanging all around the table. Find the cost of polishing the table top at Rs 2.25 per sq.metre.

    A table cover of 4 m x 2m is spread on a meeting table. If 25 cm table cover is hanging all around the table. Find the cost of polishing the table top at Rs 2.25 per sq.metre.

    Maths-General
    General
    Maths-

    A rectangle of perimeter 276 cm is cut into five equal squares. Find the area of each square.

    A rectangle of perimeter 276 cm is cut into five equal squares. Find the area of each square.

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.