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Arada [10]
3 years ago
10

Help me I'm stuck on this problem ​

Mathematics
1 answer:
WITCHER [35]3 years ago
5 0
4913 that’s your answer
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(2^8 * 3^-5 * 6^0)^-2 * (3^-2/ 2^3) ^4 * 2^28
11Alexandr11 [23.1K]

\left(2^8\cdot \:3^{-5}\cdot \:1\right)^{-2}=\left(1\cdot \frac{256}{243}\right)^{-2}=\left(\frac{256}{243}\right)^{-2}=\left(\frac{243}{256}\right)^2

\left(2^8\cdot \:3^{-5}\cdot \:6^0\right)^{-2}\left(\frac{3^{-2}}{2^3}\right)^4\cdot \:2^{28}

=2^{28}\left(\frac{3^{-2}}{2^3}\right)^4\left(3^{-5}\cdot \:2^8\cdot \:1\right)^{-2}

Consider

\left(2^8\cdot \:3^{-5}\cdot \:1\right)^{-2}=\left(1\cdot \frac{256}{243}\right)^{-2}=\left(\frac{243}{256}\right)^2=\frac{243^2}{256^2}

=2^{28}\left(\frac{3^{-2}}{2^3}\right)^4\frac{243^2}{256^2}

=2^{28}\cdot \frac{1}{2^{12}\cdot \:3^8}\cdot \frac{243^2}{256^2}

=\frac{243^2\cdot \:1\cdot \:2^{28}}{256^2\cdot \:3^8\cdot \:2^{12}}

=\frac{2^{16}\cdot \:243^2}{3^8\cdot \:256^2}

=\frac{2^{16}\cdot \:3^{10}}{2^{16}\cdot \:3^8}

=3^2

=9

6 0
3 years ago
Help please! I need it done
dmitriy555 [2]

Step-by-step explanation:

General equation of a line in slope intercept form is given by

y = mx+c

where m is slope and c is y-intercept

Here, y = 5x+9

4 0
3 years ago
Buns,cost 40p each. Cakes cost 55p each. I spend exactly £4.35 on buns and cakes.
horsena [70]

By solving a linear equation, we conclude that you bought 4 buns and 5 cakes.

<h3>How many of each did I buy?</h3>

We will define the two variables:

  • x = number of buns bought.
  • y = number of cakes bought.

We know that you spent exactly £4.35, then we only need to solve the linear equation:

x*0.40 + y*0.55 = 4.35

We need to solve that equation for x and y, such that the values of x and y can only be positive whole numbers.

We can rewrite the equation as:

y*0.55 = 4.35 - x*0.40

y = (4.35 - x*0.40)/0.55

Now we only need to evaluate it in different values of x, and see for which value of x, the outcome y is also a whole number.

We will see that for x = 4, we have:

y = (4.35 - 4*0.40)/0.55 = 5

So you bought 4 buns and 5 cakes.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

4 0
2 years ago
Read 2 more answers
Help please the last answer is 5N to the left but it didn’t fit in
Marysya12 [62]

Answer:

it would be 5n

Step-by-step explanation:

10+8=18 and 13+5=18

3 0
4 years ago
Read 2 more answers
Approximately how many calories should a person who weighs 160 pounds consume per day
sdas [7]
<span>A calorie is a unit which is used to measure the amount of energy in a piece of food. In order to maintain their weight, a person needs to consume a fixed number of calories. A person that weighs 160 pounds needs to consume approximately 2080 calories if they are inactive, 2400 calories if they are moderately active and 2720 calories if they are very active. </span>
4 0
4 years ago
Read 2 more answers
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