5

C 220e2 jequw6 8 5 8 8 1 H 77 1 H 1 1 8 [ E[...

Question

C 220e2 jequw6 8 5 8 8 1 H 77 1 H 1 1 8 [ E[

C 220e2 jequw6 8 5 8 8 1 H 77 1 H 1 1 8 [ E [



Answers

Perform the indicated operations and simplify. $\left(\frac{1}{2} k^{2}+3\right)\left(12 k^{2}+5 k-10\right)$

Okay, since we always, um, work out the valley multiplication before addition. Started that. So we get 10 over 36. Well, that's actually simplify. We know that 12 is six times too. So our two councils you you're left with a 5/6 times three, which is 18. So we have 5/18 and then plus, our mix faction will turn that into a improper fraction. So eight times one put seven is 15 over eight. Okay, so let's find out. LCD. So we have 18 and a or 18 is nine times two, which is three squared times two and a is two to her three. Do we get treated about two terms to two or three. What is that? Did you two? That's 72. Who will most a client. First fraction by 4/4. And our second fraction by nine. Over nine. So that gives me 20 over 72 plus 1915. That's 24/72. So we got 44/72. Yeah. Okay. Is this correct? Oh, sorry. I was 15 times not five times not into that. 135 135 plus 20 is 100 55. 72 times two is 1 44 to 1 55 months. 1 44 is equal to um to 1 55 minutes. 1 44 is 11/72 so let's see.

Okay, so we're asked to write eight as a fraction. Well, we can just divide that by one, because we know that age divided by one is also equal to eight. So this is a

So for this question, we need to simplify this Russians. So for part eight, this is going to be the same as taking the four through of a new one. Right? And we know that this is gonna be equivalent to 81 is equivalent to three to the power for rights. When we take this entire expression when we simplify this take the fourth root of this is just gonna be three. But this is our answer now. Another way. We could write this right when we have a negative exponents, it always becomes a fraction it goes to denominator. So this is equivalent to one over 81 to the power of positive 1/4. Because now we took out the negative sign. So in part, a weird you figured out what, 81 to the power of 1/4 ISS. So this is just going to be one over, and then we figure out what the bottom expression was, which is just three. Now for part C. Let's just go ahead and ignore the negative sign. We just have 81 to the heart of one over for which we figured out in part, it was three. That's gonna be three, right? And then we're gonna have the negative science. So the answer is just negative three. Now, what we're gonna have is for Part two D. We have 1/81 2 Part of negative 14 So we have a negative exponents in the denominator. So when When we rewrite this, we're gonna get 1/1 over 81 to the power of one. Oops. My bad 1/4. Right. Doctors credit should be equivalent to 81 the power of 1/4. And as we already saw in part one or part A, the answer to this weird to be out is going to

Okay, so we want to simplify each time. So for part A, we have four of one. So that's this equal to or any radar. So it's for and in for part B. We have 8/8. We have eight over to sing term so that the one and in have 0/12. That zero and in one over so well, we can't have division by Darryl, so this year is undefined.


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