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GMAT Data Sufficiency

What is the value of (2^m) x (2^n) ?

Thursday 23 May 2024, by MathRevolution

What is the value of (2^m) x (2^n) ?

1) mn=6
2) m+n=5

Answer B.

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Contribution to the training of professionals at a strategic level. Open your mind!

GMAT QUANT classes and tutoring
Claudio Hurtado
Phone: +56 945 517 215
Email: clasesgmatchile@gmail.com
Website: gmatchile.cl

EXPLANATION:

Let’s solve this exercise: What is the value of

(2^m) x (2^n) ?

1) mn=6

2) m+n=5

Let’s start by considering statement 1:

mn=6. This does not provide enough information to determine the exact value of
Therefore, statement 1 is not sufficient.

Next, let’s consider statement 2:

m+n=5.

We need to remember the property of exponents for the multiplication of powers with the same base, which states that the exponents are added while the base remains the same.

Thus, (2^m) x (2^n) = 2^(m + n)

Given

2) m+n=5, (2^m) x (2^n) = 2^(m + n) = 2^5=32

Therefore, statement 2 is sufficient. The correct answer is B.

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