This week’s practice question is Numeric Entry, so no answer choices are given! You’ll have to type the number in to submit your answer. Good luck, we’ll be posting the answer and explanation tomorrow!

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Answer is 1.
.
Concepts: x ^ -1 = 1/x [or, x^-n = 1/(x^n)]
& 1/ (x * y) = 1/x * 1/y [rudimentary, both of these]
.
Given expression,
.
(2^-n /3) * (3^-n /2) = 1/36
using the 2 concepts this becomes,
1/3 * 1/2 * 1/(2^n) * 1/(3^n) = 1/36
Multiplying both sides by 6,
1/(2^n * 3^n) = 1/6
.
This simplifies to 2^n * 3^n = 6.
.
We can substitute 1 as the value of n in the equation to verify.
.
MN

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Difficulty level of question?

the Ans—->=1/(3*2^n)*(1/(2*3*n)=1/36—->=(2*3*(2^n*3^n)=36——>

(6*2^n*3^n)=36

=(2*3)^n=6—->n=1

Ans: n = 1

n=1

1/3 * 1/2 * 1/(2^n) * 1/(3^n)=1/(2^2 * 3^2) 1/(2*3)^n = 1/(2*3) is equivalent to 1/a^x = 1/a OR a^-x = a^-1, where a=2*3

-x=-1 and x=1

enter 1 as answer for this question 🙂

Ans is 1….

Answer is 1.

.

Concepts: x ^ -1 = 1/x [or, x^-n = 1/(x^n)]

& 1/ (x * y) = 1/x * 1/y [rudimentary, both of these]

.

Given expression,

.

(2^-n /3) * (3^-n /2) = 1/36

using the 2 concepts this becomes,

1/3 * 1/2 * 1/(2^n) * 1/(3^n) = 1/36

Multiplying both sides by 6,

1/(2^n * 3^n) = 1/6

.

This simplifies to 2^n * 3^n = 6.

.

We can substitute 1 as the value of n in the equation to verify.

.

MN

The value of N is 3.

I hope i’m right… haha