What number times (1⁄3)^2 will give the value of 3^3?

Question

A. 3
B. 9
C. 27
D. 108
E. 243

Skywalker18 · Answer

Let the number be x
x * (1/3)^2 = 3^3
=>x = 3^5
= 243

Answer E

BrentGMATPrepNow · Answer

So, we have (1/3)²(k) = 3³ .............solve for k
We can rewrite (1/3)² as 3ˉ²
So, we get: (3ˉ²)(k) = 3³
Divide both sides by 3ˉ² to get: k = (3³)/ (3ˉ²)
Apply quotient law to get: k = 3⁵ = 243

Answer: E

abh007 · Answer

My Take:
Indeed it's E) 243

let that number is P
(1/3)^2 X P = 3^2 (given)

P = 3^5 = 243

EMPOWERgmatRichC · Answer

Hi All,

The speed with which you can answer many Quant questions on Test Day will come down to how you use the available information you're given AND in how you 'see' the math involved. While this question can certainly be solved using exponent rules, we can do a little math and use the answer choices to our advantage to avoid the rest of that math.

We're asked what number times (1⁄3)^2 will give the value of 3^3.

So... what numbers times 1/9 will get us 27.

(X)(1/9) = 27

If we multiply both sides by 9, we get...

X = (27)(9)

Since (27)(10) = 270, looking at the answer choices, there's really only one answer that makes sense...

Final Answer:  E

GMAT assassins aren't born, they're made,
Rich

ScottTargetTestPrep · Answer

We can create the following equation in which k = the number:

k(1/3)^2 = 3^3

k(1/9) = 27

k = 243

Answer: E

Abhishek009 · Answer

(1⁄3)^2 = 3^{-2}

We have :  3^{-2}*3^k = 3^3

So, k = 5

Thus, 3^5 = 243

Answer will hence be (E) 343

What number times (1⁄3)^2 will give the value of 3^3?

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GMAT Problem Solving (PS) Questions

What number times (1⁄3)^2 will give the value of 3^3?

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