9514 1404 393
Answer:
16. k^5/j^3
18. 81y^20
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c) . . . . where b may be 0
(a^b)^c = a^(bc)
(ab)^c = (a^c)(b^c)
___
We can simplify the given expressions as follows.
<h3>16.</h3>
![\dfrac{k^6j^2}{kj^5}=k^{6-1}j^{2-5}=k^5j^{-3}=\boxed{\dfrac{k^5}{j^3}}](https://tex.z-dn.net/?f=%5Cdfrac%7Bk%5E6j%5E2%7D%7Bkj%5E5%7D%3Dk%5E%7B6-1%7Dj%5E%7B2-5%7D%3Dk%5E5j%5E%7B-3%7D%3D%5Cboxed%7B%5Cdfrac%7Bk%5E5%7D%7Bj%5E3%7D%7D)
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<h3>18.</h3>
![(x^{-2})^2(3xy^5)^4=(x^{-2\cdot2})(3^4x^4y^{5\cdot4})=81x^{-4+4}y^{20}=\boxed{81y^{20}}](https://tex.z-dn.net/?f=%28x%5E%7B-2%7D%29%5E2%283xy%5E5%29%5E4%3D%28x%5E%7B-2%5Ccdot2%7D%29%283%5E4x%5E4y%5E%7B5%5Ccdot4%7D%29%3D81x%5E%7B-4%2B4%7Dy%5E%7B20%7D%3D%5Cboxed%7B81y%5E%7B20%7D%7D)
Answer:
1
Step-by-step explanation:
Slope = change in y over change in x
If you look at the graph as y goes up 1 x goes up 1
So slope = 1/1 or just 1
Answer:
-45 M
Step-by-step explanation:
The surface of the water is at 0 m. Heights above the surface are positive and depths below the surface are negative.
IF THIS NOT HELP TELL ME AND IL TRY AGAIN!!!
Answer:
for the first week add 24 grams to the initial 37 grams which will add up to 61 grams. then on the second week take the 61 grams and add another 24 grams then you will have 85 grams in two weeks
Step-by-step explanation:
24 + 37 = 61
61 + 24 = 85
Answer:
x
=
±
2
√
3
−
3
Step-by-step explanation:
Add
3
to both sides of the equation.
x
2
+
6
x
=
3
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
.
(
b
2
)
2
=
(
3
)
2
Add the term to each side of the equation.
x
2
+
6
x
+
(
3
)
2
=
3
+
(
3
)
2
Simplify the equation.
Tap for more steps...
x
2
+
6
x
+
9
=
12
Factor the perfect trinomial square into
(
x
+
3
)
2
.
(
x
+
3
)
2
=
12