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koban [17]
2 years ago
5

What is the answer to this question

Mathematics
1 answer:
zimovet [89]2 years ago
3 0

Answer:

   n^10/(144m^4)

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  a^-b = 1/a^b

  (ab)^c = (a^c)(b^c)

__

Using these rules, we can simplify the given expression as follows:

  \left(\dfrac{3m^{-5}n^2}{4m^{-2}n^0}\right)^2\left(\dfrac{mn^4}{9n}\right)^2=\left(\dfrac{3}{4}m^{-5(-(-2))}n^{2-0}\right)^2\left(\dfrac{1}{9}mn^{4-1}\right)^2\\\\=\left(\dfrac{3n^2}{4m^3}\right)^2\left(\dfrac{m^3}{9}\right)^2=\dfrac{3^2n^4}{4^2m^6}\cdot\dfrac{m^2n^6}{9^2}=\boxed{\dfrac{n^{10}}{144m^4}}

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Yan has already finished 3/5 of the 45 math problems he was assigned today. Each math problem took him 1 4/5 of a minute to comp
kobusy [5.1K]

Answer:

He will finish the rest of the problems in 32.4 minutes.

Step-by-step explanation:

Since we are given that Yan has completed 3/5 of 45 problems i.e.

\frac{3}{5}*45

27

Thus he has completed 27 problems

Remaining no. of problems are 45-27 = 18

Since he complete each problem in minutes = 1\frac{4}{5} =\frac{9}{5} =1.8

So, he completes 18 problems in minutes = 18 *1.8 = 32.4 minutes

Hence , He will finish the rest of the problems in 32.4 minutes.


3 0
3 years ago
Find the inverse of f (x) = x + 2 + 9
Brut [27]

Answer:

y = x - 11

Step-by-step explanation:

First, turn the f(x) into a y:

y = x + 2 + 9

Now, switch the x and y.

x = y + 2 + 9

Add like terms.

2  + 9 = 11

x = y + 11

Now, solve for y. Subtract 11 on both sides.

y = x - 11

5 0
3 years ago
(x+3)(x-2) <br> Polynomial in standard form
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You FOIL the binomials out to get a quadratic.
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