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- Video Course
- Video Course Overview
- General GMAT Strategies - 7 videos (free)
- Data Sufficiency - 16 videos (free)
- Arithmetic - 38 videos
- Powers and Roots - 36 videos
- Algebra and Equation Solving - 73 videos
- Word Problems - 48 videos
- Geometry - 42 videos
- Integer Properties - 38 videos
- Statistics - 20 videos
- Counting - 27 videos
- Probability - 23 videos
- Analytical Writing Assessment - 5 videos (free)
- Reading Comprehension - 10 videos (free)
- Critical Reasoning - 38 videos
- Sentence Correction - 70 videos
- Integrated Reasoning - 17 videos
- Study Guide
- Office Hours
Comment on x with Powers of a, b and c
for x^3a and using the law,
It's true that x^(3a) = (x^a)
It's true that x^(3a) = (x^a)^3 = (x^3)^a
So, we COULD have rewritten x^(3a) as (x^3)^a
However, doing so would not have helped us answer the question. We're not given any information about the value of x^3, so our solution would become stalled.
However, we ARE given information about the value of x^a.
So, if we rewrite x^(3a) as (x^a)^3, we can use the fact that x^a = 2 to help us solve the question.
Does that help?