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babunello [35]
3 years ago
10

Please select the best answer from the choices provided

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
4 0

<u>Answer:</u>

The correct answer option is c. \frac{1}{9a^2}.

<u>Step-by-step explanation:</u>

We are given an expression (27a^{-3})^{-\frac{2}{3} } and we are supposed to simplify it.

We can also write (27a^{-3})^{-\frac{2}{3} } as (\frac{3^3}{a^3} )^{-\frac{2}{3} }.

We know the power rule (a^m)^n=a^{mn} which means that to raise a power to a power you need to multiply the exponents.

So multiplying the exponents to get:

\frac{3^{(3.-\frac{2}{3})} }{a^{(3.\frac{2}{3})} }\\\\\frac{3^{-2}}{a^2}\\ \\\frac{1}{3^2a^2} \\\\\frac{1}{9a^2}

Therefore, the correct answer option is c. \frac{1}{9a^2}.

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Identify the domain of a radical function with an odd index.
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Answer:When n is an odd number, \sqrt[n]{a} is a real number for all values of a. Then, the domain is the real domain.

8 0
3 years ago
PLS HELP THIS IS VERY URGENT!!!! i really need help on this!! I need to turn this in very soon. i would appreciate your help.
Marysya12 [62]

Answer:

17= 2/3

13,,,a=> (5x+5) (x+3)

Step-by-step explanation:

.........................

Forgive me if wrong

8 0
2 years ago
Which inequality is equivalent to x-6/x+5≥x+7/x+3?
yawa3891 [41]
To find equivalent inequalities you have to work the inequality given.

The first step is transpose on of sides to have an expression in one side and zero in the other side:

  x - 6        x + 7
--------- ≥  --------
  x + 5       x + 3

=>

  x - 6          x + 7
--------- -  --------   ≥ 0
  x + 5       x + 3

=>

 (x - 6) (x + 3) - (x + 7) (x + 5)
--------------------------------------- ≥ 0
          (x + 5) (x + 3)

=>

 x^2 - 3x - 18 - x^2 - 12x - 35
--------------------------------------- ≥ 0
         (x + 5) (x + 3)

           15x + 53
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       (x + 5) (x + 3)

That is an equivalent inequality. Sure you can arrange it to find many other equivalent inequalities. That is why you should include the list of choices. Anyway from this point it should be pretty straigth to arrange the terms until making the equivalent as per the options.
4 0
3 years ago
Read 2 more answers
Is the following number rational or irrational 0.5555?
4vir4ik [10]

Answer:

Simple.

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Find a whole number solution that makes the following true
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I don't think any of them exist. the only ones I can think of make my feel there are any others
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