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3 years ago

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Choose the correct simplification of the expression a^7b^8/a^4b^4

2 answers:

arsen [322]3 years ago

7 0

Move .Use the power rule to combine exponents.Add and to get .Move .Use the power rule to combine exponents.Add and to get .
Like...so it would get you:
(<span>a7</span><span>b12</span>)<span>(<span>a4</span><span>b8</span>)</span><span><span>(<span>a7</span><span>b12</span>)</span><span>(<span>a4</span><span>b8</span>)</span></span> Move <span><span>a4</span><span>a4</span></span> .<span><span><span>a4</span><span>a7</span><span>b12</span><span>b8</span></span><span><span>a4</span><span>a7</span><span>b12</span><span>b8</span></span></span> Use the power rule <span><span><span>am</span><span>an</span>=<span>a<span>m+n</span></span></span><span><span>am</span><span>an</span>=<span>a<span>m+n</span></span></span></span> to combine exponents.<span><span><span>a<span>4+7</span></span><span>b12</span><span>b8</span></span><span><span>a<span>4+7</span></span><span>b12</span><span>b8</span></span></span> Add <span>44</span> and <span>77</span> to get <span>1111</span> .<span><span><span>a11</span><span>b12</span><span>b8</span></span><span><span>a11</span><span>b12</span><span>b8</span></span></span> Move <span><span>b8</span><span>b8</span></span> .<span><span><span>a11</span><span>(<span>b8</span><span>b12</span>)</span></span><span><span>a11</span><span>(<span>b8</span><span>b12</span>)</span></span></span> Use the power rule <span><span><span>am</span><span>an</span>=<span>a<span>m+n</span></span></span><span><span>am</span><span>an</span>=<span>a<span>m+n</span></span></span></span> to combine exponents.<span><span>a11<span>b8+12</span></span><span>a11<span>b8+12</span></span></span> Add <span>88</span> and <span>1212</span> to get <span>2020</span> .<span><span><span>a11</span><span>b20</span></span><span><span>a11</span><span>b<span>20

So for the simplification, go with A, bc </span></span></span></span><span><span>a11<span>b8+12</span></span><span>a11<span>b8+12 looks the closest youre gong to get to whats there so A </span></span></span><span> a^11b^12 is yours.
~~~~Hope this helps!
</span>

Alex787 [66]3 years ago

4 0

The answer is B: a^3b^4<span>

Proof:
Simplify the following:
(a^7 b^8)/(a^4 b^4)

Combine powers. (a^7 b^8)/(a^4 b^4) = a^(7 - 4) b^(8 - 4):
a^(7 - 4) b^(8 - 4)

7 - 4 = 3:
a^3 b^(8 - 4)

8 - 4 = 4:
Answer: a^3 b^4

PS: I just wish that you put the equation down as it's intended i.e.
a^7b^8/a^4b^4 is not the same as (<span>a^7b^8)/(a^4b^4)</span>
</span>

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Nimfa-mama [501]

First of all, we can observe that

$x^2-6x+9 = (x-3)^2$

So the expression becomes

$\dfrac{x^2-4}{\sqrt{(x-3)^2}} = \dfrac{x^2-4}{|x-3|}$

This means that the expression is defined for every $x\neq 3$

Now, since the denominator is always positive (when it exists), the fraction can only be positive if the denominator is also positive: we must ask

$x^2-4 \geq 0 \iff x\leq -2 \lor x\geq 2$

Since we can't accept 3 as an answer, the actual solution set is

$(-\infty,-2] \cup [2,3) \cup (3,\infty)$

7 0

3 years ago

State the possible rational zeros and then factor each

Rom4ik [11]

All possible roots is the attachment
X=-1,-1/4,-4
Factor with the GCF 1

5 0

3 years ago

In the diagram below, O is circumscribed about quadrilateral DEFG. What is the value of x?

Fofino [41]

Answer:

A. 70

Step-by-step explanation:

The given quadrilateral DEFG is a cyclic quadrilateral.

$\angle F+70\degree=180\degree$ ...opposite angles of a cyclic quadrilateral are supplementary.

$\implies \angle F=180\degree-70\degree$

$\implies \angle F=110\degree$

The sum of angles in a quadrilateral is 360 degrees.

$x-10+70+110+120=360$

$x+290=360$

$x=360-290$

$x=70\degree$

7 0

4 years ago

What is the circumstance of 12cm ?

konstantin123 [22]

Answer:

37.68 cm

Step-by-step explanation:

The formula for circumference is C= 2* (3.14) r

First you can actually cut 12 by 1/2

12 * 1/2 is 6. This works because 12 is an even number.

2 * 3.14 (6) gives you 37.68 cm.

So i believe the answer is 37.68 cm.

8 0

3 years ago

PLEASE HELP !!!!!!!! WILL MARK BRAINLIEST IF CAN!

Margaret [11]

Answer:

The answer is A. You just have to plug in.

Step-by-step explanation:

5x - y/3= 13

(2,-9) and (3,-6)

5(2) - -9/3 = 13

10 + 3 = 13

13 = 13 (true)

5(3) - -6/3= 13

15+ 2 = 13

17 = 13 (wrong)

8 0

3 years ago