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 ?
Hint:
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.
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