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
dimulka [17.4K]
2 years ago
14

Simplify the expression. Assume all variables are positive. (r/32s)^8/5

Mathematics
1 answer:
balandron [24]2 years ago
6 0

Answer:

Step-by-step explanation:

Alright, lets get started.

The given expression is :

(\frac{r}{32s} )^{\frac{8}{5} }

It could be written as

(\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{32} )^{\frac{8}{5} }

32 could be written as 2^{5}

So, replacing that in our expression

(\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{2^{5} } )^{\frac{8}{5} }

(\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{2} )^{5*\frac{8}{5} }

(\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{2} )^{8}

\frac{1}{256}*(\frac{r}{s} )^{\frac{8}{5} }

This is the simplified form of given expression.  :  Answer

Hope it will help :)




You might be interested in
janet and sam both have new jobs. Janet makes $8 every 1/2 hour. Sam makes $5 every 1/3 of an hour. Who would have made more mon
Ksivusya [100]
Janet earns more money because she gets paid $8 every 30minutes and in other words is that per hour she gets paid $16.  Whereas Sam gets paid $15 every hour. The amount paid at the start determines who gets more
4 0
3 years ago
I don’t get it! It says “Match each division expression to it’s quotient.” So can anyone help with 1/12 / 1/6 ? Please!
natta225 [31]

We have two fractions being divided. When we divide two fractions, we flip the second fraction and multiply

1/12 divided by 1/6 = 1/12 * 6/1

-------

From here we multiply straight across.

The numerators multiply to get 1*6 = 6

The denominators multiply to 12*1 = 12

We end up with 6/12 which reduces to 1/2 when you divide both parts by the GCF 6

<h3>Final Answer:  1/2</h3>
5 0
3 years ago
What’s the answer for this??
Arturiano [62]

Answer:

I would say D

Hope This Helps!       Have A Nice Afternoon!!

7 0
3 years ago
Read 2 more answers
Which is eWhich is equivalent to 3 square root of 125quivalent to ?
Mkey [24]

Answer:

15\sqrt{5}

Step-by-step explanation:

3\sqrt{125}=3\sqrt{25*5}\\ =3\sqrt{25}*\sqrt{5}\\ =3*5*\sqrt{5}\\ =15\sqrt{5}

4 0
3 years ago
How to show these 2 problems are inverses
nataly862011 [7]
\bf \begin{cases}&#10;f(x)=\sqrt[3]{7x-2}\\\\&#10;g(x)=\cfrac{x^3+2}{7}&#10;\end{cases}\\\\&#10;-----------------------------\\\\&#10;now&#10;\\\\&#10;f[\ g(x)\ ]\implies f\left[ \frac{x^3+2}{7} \right]\implies \sqrt[3]{7\left[ \frac{x^3+2}{7} \right]-2}\implies \sqrt[3]{x^3+2-2}&#10;\\\\\\&#10;\sqrt[3]{x^3}\implies x\\\\&#10;-----------------------------\\\\&#10;or&#10;\\\\&#10;g[\ f(x)\ ]\implies g\left[\sqrt[3]{7x-2}\right]\implies \cfrac{\left[\sqrt[3]{7x-2}\right]^3+2}{7}&#10;\\\\\\&#10;\cfrac{7x-2+2}{7}\implies \cfrac{7x}{7}\implies x

thus f[ g(x) ] = x indeed, or g[ f(x) ] =x, thus they're indeed inverse of each other
8 0
3 years ago
Other questions:
  • Suppose that G(x) = F(x - 6) - 3. Which statement best compares the graph of G(x) with the graph of F(x)?
    6·2 answers
  • Students held a canned food drive and collected 200 cans. The distribution of food collected is shown in the graph below. Based
    7·1 answer
  • A band sells T-shirts at their concerts. After one concert, they sold 320 out of 400 black T-shirts and 270 out of 300 blue T-sh
    11·1 answer
  • The base of a side of a ramp is 3 meters and the height is 0.6 meters what is the area of the triangular side of the ramp is sqa
    11·1 answer
  • there are 12 actors auditioning for 5 different roles in a new play. how many different cast are possible
    10·1 answer
  • 4) The line -3x + 4y = 8 is transformed by a dilation centered at the origin. Which linear equation could represent its image?
    15·1 answer
  • Find the value of x that makes FGH~JKL
    11·2 answers
  • Type the correct answer in each box. Consider the expressions shown below.
    7·2 answers
  • What is 5,684.505 in expanded form?
    11·1 answer
  • 50 POINTS
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!