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What is (-e^-t) squared?

7 Answers

K
Kian Lynch

Feb 20, 2025

(-e^-t)^2 = e^(-2t)It could also be written as : 1/e^(2t)... Show More
K
Kian Lynch

Feb 20, 2025

Start by noticing the whole value is negative: a negative squared becomes positive:so we know our answer will be positive somethingThen look at the rest of the problem(e^-t)^2 since the 2 is on the outside of the parentheses your two powers will be multiplied together giving you:e^(-2t)(That is a property of powers (a^x)^y becomes a^(xy)so your final answer is +e^(-2t)It’s always hard to put math into words, but try to just follow the steps.I hope this helped!... Show More
K
Kian Lynch

Feb 20, 2025

(-e^-t)²Distribute the square to the negative and the e:(-1)²(e^-t)²-1 squared becomes 1 and disappears. When taking a power to another power, simply multiply exponents: =e^(-2t)... Show More
K
Kian Lynch

Feb 20, 2025

e^-2tAny power raised to another power is simply the number raised to the multiple of the powers.i.e.(x^y)^z = x^(y*z)Also, you can split numbers that are multiplied together and raise them to the same power individually.i.e.(x*y)^z = x^z * y^zSo putting that together, you get (-1*e^-t)^2 = (-1)^2 * (e^-t)^2, which equals (-1)^2 * e^(-2t)-1 squared = 1Answer: e^(-2t)... Show More

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