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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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Find the value of 8(4+3)-21 divided by7
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Answer:

5

Step-by-step explanation:

First, let us simplify the expression on the left

8(4+3) - 21 = 8(7) - 21 = 8(7) - 3(7) = 7(8-3)

Divide this by 7 and you'll get 8-3 = 5

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2 years ago
Bree had 52 pens scattered on her desk.She wanted to organize them.
ziro4ka [17]
Answer: The operation is “division” and the answer is “13 pens in each”.
Explanation: 52 divided by 4 = 13
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3 years ago
The ratio of bikes to scooters is 4to 7, if there 24 bikes then how many scooters are there​
gulaghasi [49]

Answer:

36

Step-by-step explanation:

4 was multiplied 6 times to get 24. Therefore you must multiply 7 by 6 as well.

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Find all solutions of the given system of equations and check your answer graphically. HINT [See Examples 2–5.] (If there is no
Reika [66]

The values of (x,y)=(4,4). In terms of x, the value y(x)=8-x, If the given equation is x-y=0 and x+y=8.

Step-by-step explanation:

The given is,

                              x-y=0...............................(1)

                              x+y=8...............................(2)

Step:1

          Solution can be obtained by Elimination method,

          Equation (1) is multiplied by (-1)           ( Eqn (1) × -1 )

                             -x+y=0..............................(3)

          Substrate the equation (1) and equation (3),

                              -x+y=0

                                x+y=8

         ( - )

         (-x-x)+(y-y)=(0-8)

                             (-2x)=-8

                                -2x = -8

         we can cancel the minus because it is available in both sides,

                                  2x=8

                                    x = \frac{8}{2}

                                     x = 4

        From the value of x, Equation (2) becomes,

                              x+y=8

                               4+y=8

                                     y = 8-x    (Value of y in terms of x)

        Where, x = 4

                                     y = 8-4        

                                     y =4

Step:2

       Check for solution,

                             x+y=8.....................................(2)

       Substitute the values of x and y,

                             4 + 4 = 8

                                   8 = 8

Result:

         The values of (x,y)=(4,4). In terms of x, the value y(x)=8-x, where x=4. If the given equation is x-y=0 and x+y=8.

         

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Answer:

Step-by-step explanation:

Ten divided by four is 2.5 so you can make obe a rave with 2.5 skeins 2.5*10=25 so you can make ten scarves

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