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

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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.