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So I got this crazy math problem from a GMATPill student who was using ManhattanGMAT material and didn’t quite understand their explanations. (It’s OK ManhattanGMAT–nobody’s perfect).

Well, here’s the video that I sent back to my student.

**Step 1)** Notice that the numbers are EVEN and are SQUARES.

**Step 2)** Notice that the question is not asking for x. Rather, it is asking for some weird expression—SQUARED.

**Step 3)** Identify that it might make sense to re-write the equation with squares so they better match up with what we’re trying to solve for.

**Step 4)** Recognize that the squares now cancel out, leaving us with 4^(2x) = 40

**Step 5)** Recognize that the question is asking us something that looks different–but we can rewrite it so that it includes the term that we already found in step #4.

**Step 6)** Do the division and arrive at 2.5 –TADA!!

GMAT Math Word Problem

GMAT Math Mixture Problem

Table of Contents | See Pricing

Verbal Questions: Sentence Correction | Critical Reasoning | Reading Comprehension

Quant Videos: Problem Solving | Data Sufficiency

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