Mathematical English: Powers

Mathematical English: Powers

math-powers

Non-native speakers often struggle when they have to speak about powers. For example, the correct expression used for 10^3 is ten to the power of three, although it is common to instead use the shorter form ten to the three. Similarly, x^7 is x to the (power of) seven. The exponents 2 and 3 (can you think of other examples?) have special names: x^2 is x squared, x^3 is x cubed. A confusing yet common mistake is to say ten to three (which refers to the time of day 2:50) instead of ten to the three. If the exponent is negative, for example 10^{-3}, the correct expression is 10 to the (power of) minus three, but not 10 to the (power of) negative three. Finally, the correct form for e^x is either exponential function of x or, much shorter, e to the (power of) x.

Martin

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