5

Ousienin 7 Asdaitenart Ant 1...

Question

Ousienin 7 Asdaitenart Ant 1

Ousienin 7 Asdaitenart Ant 1



Answers

Simplify. $$ (-1)^{7} $$

All right. So here is something that math likes to be a little tricky with. So any number that we have 78 10 21. There's a whole bunch of invisible math that goes on here. I can make them all a fraction by putting them over one still worth the same amount, just putting a little extra into it, making it a fraction I can make it be multiplied by one still worth the same amount. Still worth those numbers that I constantly am repeating, All right, And then also it works this way with exponents as well. So every whole number can always have an exponents of one. It's just saying, Hey, you have won seven Just like everything else here, all of these air equivalent and I call this invisible math. So I have seven to the first power Eight to the first power tend to the first power and 21 to the first powers. So any time you see a question where it says simplify 10 or even ah, 100 to the first power, it is just equal to itself.

Okay, so it's multiply these two numbers together. It's know that we have, like science. So we're gonna take on a positive value, and that's going to be there after a bout of seven times after about one, which is equal to seven times one, and that's you to a seven.

Hi. We're looking at the last blast Transform off E to the 70 times sine squared t evaluated at some point s. Now, if we could recall how multiplying something by an exponential works, it's corresponds to a shift in the lap. Last transform. So this is the same as the last last transforms of sine squared t apply it at s minus seven. First, think about how to calculate the last last transformer signs. 20. Well, if we let ff t be equal to sine squared t then F priority is going to be equal to two fine tea coasts tea which we can also right as the sign off to t this'll means that the lack last transformer F crime could be easily calculated because we know the last last transformer that triggered a metric function. It's gonna be too over s square plus four. But now he also remember that the black last ransom of a derivative is related to the lab class. Transform of the original function in particular, is equal to s time for lack last transform F minus the initial value of F zero. Fortunately, in this case, sine squared of 00 to this just disappears completely. Therefore, we obtained the lap. Last transfer of F is gonna be called to Over s aspect was full. And now this means that the last class transfer the original function we were tryingto find a lower class transformer is s minus seven times X minus seven squared plus four.

Not to simplify this expression. The negative exponents should become positive, and this can be done by taking the reciprocal off the fraction whenever. Seven. So do we. Reciprocal whenever seven in just seven and explained its sun will turn into a positive. So 74 off to as seven by multiple by itself twice seven multiplied by seven, which is 49. So this is the answer of this question.


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