1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kati45 [8]
2 years ago
12

%205%7D%20" id="TexFormula1" title="{x}^{3} {y}^{4} \times {x}^{5} {y}^{ - 5} " alt="{x}^{3} {y}^{4} \times {x}^{5} {y}^{ - 5} " align="absmiddle" class="latex-formula">
pls solve this problem​
Mathematics
1 answer:
jek_recluse [69]2 years ago
6 0

x^3 y^4 \cdot x^5 y^{-5}\\\\=x^{5+3} \cdot y^{4-5}~~~~~~~~~~~~~~~~~~~~~~~;[a^m \cdot a^n = a^{m+n}]\\\\=x^8 y^{-1}\\\\=\dfrac{x^8}{y}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[a^{-n} = \dfrac 1{a^n},~~~ a \neq 0\right]

You might be interested in
The number of students who attended Albany Medical College last year was 1000. This year, attendance has increased to 1350 stude
NeTakaya
First you have to subtract 1350-1000 to get 350. Then you have to make 350/1000 into a percent. First you have to turn it into a decimal. In the fraction 350/1000 can be reduced to 35/100. In decimal form it would be 0.35. In pecentage form it would be 35%. The percentage difference of the student population would be 35%.
4 0
3 years ago
Twenty students in class A an 20 students in class B were asked how many hours they took prepare for a exam
inn [45]
What are you talking about

7 0
3 years ago
If 1/2 gallon of paint covers 1/8 of a wall, then how many quarts of paint are needed for the entire wall?
romanna [79]

Answer:

4 gallons

Step-by-step explanation:

The total required quarts of paint is: 8 x 1/2 = 4

6 0
4 years ago
Read 2 more answers
A rectangular prism of volume 3200 mm has a rectangular base of 10 mm and width 8 mm. Find the height h of the prism
Orlov [11]

Answer:

40 mm

Step-by-step explanation:

The rectangular prism of a rectangular box. The volume is given by the formula:

<u>Volume of Rectangular Prism</u> = length * width * height

Given Volume = 3200

Length = 10

Width = 8

We need to find height. So we plug in the given information and find the height, in mm. Shown below:

Volume = Length * Width * Height

3200 = 10 * 8 * Height

3200 = 80 * Height

Height = 3200/80

Height = 40 mm

The height (h) = 40 mm

4 0
4 years ago
Let O be an angle in quadrant III such that cos 0 = -2/5 Find the exact values of csco and tan 0.​
vivado [14]

well, we know that θ is in the III Quadrant, where the sine is negative and the cosine is negative as well, or if you wish, where "x" as well as "y" are both negative, now, the hypotenuse or radius of the circle is just a distance amount, so is never negative, so in the equation of cos(θ) = - (2/5), the negative must be the adjacent side, thus

cos(\theta)=\cfrac{\stackrel{adjacent}{-2}}{\underset{hypotenuse}{5}}\qquad \textit{let's find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2 - (-2)^2}=b\implies \pm\sqrt{25-4}\implies \pm\sqrt{21}=b\implies \stackrel{III~Quadrant}{-\sqrt{21}=b}

\dotfill\\\\ csc(\theta)\implies \cfrac{\stackrel{hypotenuse}{5}}{\underset{opposite}{-\sqrt{21}}}\implies \stackrel{\textit{rationalizing the denominator}}{-\cfrac{5}{\sqrt{21}}\cdot \cfrac{\sqrt{21}}{\sqrt{21}}\implies -\cfrac{5\sqrt{21}}{21}} \\\\\\ tan(\theta)=\cfrac{\stackrel{opposite}{-\sqrt{21}}}{\underset{adjacent}{-2}}\implies tan(\theta)=\cfrac{\sqrt{21}}{2}

4 0
2 years ago
Other questions:
  • What’s the probability of a C or a Z
    7·1 answer
  • Evaluate: 16 - 2+3 - 4
    10·2 answers
  • The conditional relative frequency table below was generated by column from a frequency table comparing the gender of a student
    5·1 answer
  • Step by step please
    10·1 answer
  • Round 39.472 to the nearest tenth​
    6·1 answer
  • 2) The ratio of an exterior and an interior angle of regular polygon at a vertex is 2 : 7, the number of sides of the regular po
    7·2 answers
  • 1. Which graph represents the inequality?<br> y &lt;3x + 1
    5·2 answers
  • If m(x) = x+5/x-1 and n(x)=x-3, which function has the same domain as (m o n)(x)?
    5·1 answer
  • What is the longest side of a right triangle?
    6·1 answer
  • What are the first two steps of drawing a triangle that has all side lengths equal to 12 centimeters?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!