The answer of 4(2x^3 y^4 )^4/2(2x^2 y^6 )^3 after simplification will be
4 
Step-by-step explanation:
To simplify
.
Using exponential law the exponents of variables will be added when multiplied as per rule
we get
![\frac{4[(2^4)(x^{3\times 4}) ( y^{4\times4} )] }{2[(2^3)(x^{2\times3} ) (y^{6\times3} )]}\\](https://tex.z-dn.net/?f=%5Cfrac%7B4%5B%282%5E4%29%28x%5E%7B3%5Ctimes%204%7D%29%20%28%20y%5E%7B4%5Ctimes4%7D%20%29%5D%20%7D%7B2%5B%282%5E3%29%28x%5E%7B2%5Ctimes3%7D%20%29%20%28y%5E%7B6%5Ctimes3%7D%20%29%5D%7D%5C%5C)
![\frac{4[(16)(x^{12}) ( y^{16} )] }{2[(8)(x^{6} ) (y^{18} )]}\\\\\frac{64x^{12}y^{16} }{16 x^{6}y^{18} }](https://tex.z-dn.net/?f=%5Cfrac%7B4%5B%2816%29%28x%5E%7B12%7D%29%20%28%20y%5E%7B16%7D%20%29%5D%20%7D%7B2%5B%288%29%28x%5E%7B6%7D%20%29%20%28y%5E%7B18%7D%20%29%5D%7D%5C%5C%5C%5C%5Cfrac%7B64x%5E%7B12%7Dy%5E%7B16%7D%20%20%7D%7B16%20x%5E%7B6%7Dy%5E%7B18%7D%20%20%7D)
Now by dividing according to exponential rule the exponents of variables will be subtracted as per rule
So the answer of 4(2x^3 y^4 )^4/2(2x^2 y^6 )^3 after simplification will be
4
Keywords: Algebra
Learn more about algebra at:
#learnwithBrainly
10 is the answer. Hope that helped
I assume the sentences:
"23 employees speak German; 29 speak French; 33 speak Spanish"
mean these speak ONLY the respective languages other than English.
Then the calculations boil down to those who speak ONLY two languages, noting that 8 speak French, German and Spanish, which need to be subtracted from
1. French and Spanish: 43-8=35 (speak only two foreign languages)
2. German and French: 38-8=30 (speak only two foreign languages)
3. German and Spanish: 48-8=40 (speak only two foreign languages).
Now We add up the total number of employees:
zero foreign language = 7
one foreign language = 23+29+33=85
two foreign languages = 30+35+40=105
three foreign languages=8
Total =7+85+105+8=205
(a) Percentage of employees who speak at least one foreign lanugage = (85+105+8)/205=198/205=.966=96.6%
(b) Percentage of employees who speak at least two foreign lanugages = (105+8)/205=113/205=.551=55.1%
Hello Missycat6, the answer would be 5 + 2h because 5 represents 5 dollars a day and 2h represents the 2 dollars per 'h' hour.
Answer:
cot(x) sin(x) = cos(x)
OK so what you are gonna do is first manipulate the left side of the equation
cot(x) sin(x)
So, you are gonna express with sin, cos
cos(x)/ sin(x) sin(x)
Then you will simplify cos(x)/ sin(x) sin(x) and get:
= cos (x)
So the equation cot(x) sin(x) = cos(x) is TRUE
(I hope this helps you! If it does please consider giving me the brainliest! It would really help me out and I would really appreciate it)
