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
Alona [7]
3 years ago
12

What is(y^4/3 x y^2/3)^-1/2

Mathematics
2 answers:
kobusy [5.1K]3 years ago
3 0

\bf \left( y^{\frac{4}{3}}xy^{\frac{2}{3}} \right)^{-\frac{1}{2}}\implies \left( y^{\frac{4}{3}}y^{\frac{2}{3}}x \right)^{-\frac{1}{2}}\implies \left( y^{\frac{4}{3}+\frac{2}{3}}x \right)^{-\frac{1}{2}}\implies \left( y^{\frac{6}{3}}x \right)^{-\frac{1}{2}} \\\\\\ (y^2x^1)^{-\frac{1}{2}}\implies \left( y^{-\frac{1}{2}\cdot 2}x^{-\frac{1}{2}\cdot 1} \right)\implies y^{-1}x^{-\frac{1}{2}}\implies \cfrac{1}{y}\cdot \cfrac{1}{x^{\frac{1}{2}}}\implies \cfrac{1}{y\sqrt{x}}

olga nikolaevna [1]3 years ago
3 0

Step-by-step explanation:

\text{Use}\\\\a^n\cdot a^m=a^{n+m}\\\\(a^n)^m=a^{nm}\\\\a^{-1}=\dfrac{1}{a}\\============================\\\\\bigg(y^\frac{4}{3}\cdot y^\frac{2}{3}\bigg)^{-\frac{1}{2}}=\bigg(y^{\frac{4}{3}+\frac{2}{3}}\bigg)^{-\frac{1}{2}}=\bigg(y^{\frac{4+2}{3}}\bigg)^{-\frac{1}{2}}\\\\=\bigg(y^{\frac{6}{3}}\bigg)^{-\frac{1}{2}}=\bigg(y^2\bigg)^{-\frac{1}{2}}=y^{(2)\left(-\frac{1}{2}\right)}=y^{-1}=\dfrac{1}{y}

You might be interested in
Slove for the value of x to the nearest whole number?
just olya [345]

Answer:

Hello good afternoon

Step-by-step explanation:

<em>you have to put this link </em>

3 0
2 years ago
a line with a slope of 3 passes through the point (2,5) write an equation for this line in point-slope form.​
Bingel [31]

Answer:

Point Slope: y - 5 = 3 (x-2)

Slope Intercept : y=3x-1

Step-by-step explanation:

1.) y - 5= 3(x-2)

2.) y - 5 = 3x-6

3.) y=3x-1

4 0
3 years ago
List 3 goods or services you have used that are funded by taxes
Tanzania [10]
Education school,Our military defense and Law enforcement like the Police.
5 0
3 years ago
Read 2 more answers
What is the answer to 3(m-1)=5m +3 - 2m
notsponge [240]
Is there a answer for m what is m
5 0
3 years ago
How do I show the work where 69 miles per hours is proportional to the number of hours
riadik2000 [5.3K]
<span>1. First, label the axis on your graph, with units:

time on the x-axis, in units of hours;

distance on the y-axis, in units of miles.

2. Draw a graph of distance vs. time. Distance after the first hour = 69 miles, distance after the 2nd hour = 138 miles, etc.

3. Observe that this graph is a STRAIGHT LINE with constant slope. Therefore the relationship is PROPORTIONAL.

For every other kind of graph -- i.e. not a straight line -- the relationship is NON-PROPORTIONAL.

Hope this helps. </span>
6 0
3 years ago
Other questions:
  • (2 fiths) to the -2nd power btw, how can i use the camra in this app
    14·1 answer
  • I next help on the polynomial
    13·1 answer
  • On average, Debbie can finish 4 algebra problem in 30 minutes. If Debbie works at this rate, how many problems will she solve in
    7·2 answers
  • How does the Counting Principle help when determining the sample space for a probability distribution?
    15·1 answer
  • Two ropes are attached to the bumper of a car. Rope A is pulled with a force of 60 pounds at an angle of 30° to the horizontal g
    10·1 answer
  • 3x +12 =90 what is x
    7·2 answers
  • Find the radius of a circle whose circumference is 9pie
    9·2 answers
  • 800 is 60% of what number?​
    9·2 answers
  • HELP !! anyone please i need this done in less than in hour JUST ANSWERS WILL DO
    15·1 answer
  • I have to find the slope for 4. ASAP please help
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!