All categories

3 years ago

(R^3)^-3 what is theAnswer

Mathematics

1 answer:

Nastasia [14]3 years ago

3 0

$(r^{3})^{-3}$
$\frac{1}{(r^{3})^{3}}$

$\frac{1}{(r^{3})(r^{3})(r^{3})}$

$\frac{1}{r^{9}}$

You might be interested in

Find the coefficient of x^5y^8 in (x+y)^13

Dafna1 [17]

recall that the exponent for the first term will be starting at 13, and descending by one on every expanded term, in the binomial theorem.

so, 13, 12, 11, 10, 9, 8, 7, 6, 5 <---- x⁵ will then be in the 9th term

now, using the "combination" formula to get the coefficient of the 9th term.

k = 8 <--- the 9th term

n = 13 <--- highest exponent

$\bf \textit{the coefficient and values of an expanded term} \\\\ (x+y)^{13} \qquad \qquad \begin{array}{llll} expansion\\ for\\ 9^{th}~term \end{array} \quad \begin{cases} \stackrel{term}{k}=0..n\\ \stackrel{exponent}{n}\\ -----\\ k=\stackrel{9~term}{8}\\ n=13 \end{cases}$

$\bf \stackrel{coefficient}{\left(\frac{n!}{k!(n-k)!}\right)} \qquad \stackrel{\stackrel{first~term}{factor}}{\left( a^{n-k} \right)} \qquad \stackrel{\stackrel{second~term}{factor}}{\left( b^k \right)} \\\\\\ \cfrac{13!}{8!(13-8)!}~~x^{13-8}~~(+y)^8\implies 1287~x^5y^8$

5 0

4 years ago

Read 2 more answers

Delilah and a group of friends had excellent service at a restaurant. They would like to give the server a 25 percent gratuity o

garik1379 [7]

Answer:

Here we want to calculate the 25% of $140.

Well, first we assume that:

$140 = 100%.

Now, assuming that, we can write the equation:

X = 25%

Where X is the 25% of $140.

Then we have the equations:

$140 = 100%

X = 25%

Let's take the quotient between these equations:

$140/X = (100%/25%)

Now let's solve this for X:

X = (25%/100%)*$140 = 0.25*$140 = $35

Then the tip will be of $35

5 0

3 years ago

Read 2 more answers

The Sanchez family is planning a trip to an amusement

Vedmedyk [2.9K]

A because it represents it the right way

6 0

4 years ago

Andrew estimated the weight of his dog to be 60 lb. The dog’s actual weight was 68 lb. What was the percent error in Andrew’s es

arsen [322]

The equation for percent error is: $|\frac{Experimental - Accepted}{Accepted}| * 100$

60 lb is the experimental and 68 lb is the accepted.

Plug in you values...

$| \frac{60-68}{68}| * 100$ ≈ 11.76 %

8 0

4 years ago

9 hours and 40 mins before 4:25 am

kherson [118]

9 hours and 40 minutes before 4 : 25 A.M. is --->

----------------
6 : 45 P.M

I just did it in my head..Sorry that i couldn't show my explanation
I really hope this answer helped you
Have a great day!!

7 0

3 years ago