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Question
hi, this question ia about the rules of exponents.
What is the difference between:
3X^2 and (3X)2
Thanks in advance.
Hi Ang-sui,
The first one reads "three times x square".
You multiply (x^2) by a scalar value, which is 3 here.
The second one reads "three x all square".
You square (3x) and thus obtain 9x^2.
Whereas, in the previous expression, you have 3x^2.
In general, (ax)^n is the same as a^n * x^n.
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When I work through problems, I like to emphasize concepts which I believe are worth noting. I will try to answer questions in the following areas, but not at the advanced level. Algebra. Sequences & Series. Trigonometry. Functions & Graphs. Coordinate Geometry. Quadratic Polynomials. Exponential & Logarithms. Basic Calculus. Probability, Permutation and Combination. Mathematical Induction. Complex numbers. Physics problems.
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