A few days ago
Fibonacci01123

what is (e^x)(e^-x)?

what is (e^x)(e^-x)?

Top 2 Answers
A few days ago
Anonymous

Favorite Answer

When you multiply two similar exponential terms, you add the exponents. The terms in your question are similar because they both share the same base number “e”. So, you add the exponents of the two terms to arrive at the combined term. In your question the exponents are “x” and “-x” which, when added together = 0. Any number raised to power of 0 is equal to 1:

(e^x)(e^-x) = e^0 = 1

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A few days ago
Antony1871
seems to be a variable raised to a power then multiplied to a variable raised to a power. The ^-x means that you would take the difference in the power to get your result of the variable. example: (a^5)(a^-3)=a^2
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