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Anastaziya [24]
4 years ago
6

X to the third power = 125/27

Mathematics
1 answer:
nika2105 [10]4 years ago
7 0
When raising a fraction to a power, we can raise the numerator and denominator to the power. To find x, we need to find the cube root of both 125 and  27. That is, the numbers that when multiplied by themseelves 3 times result in 125 and 27.

\sqrt[3]{125} = 5

\sqrt[3]{27} =3

So x = \frac{5}{3}
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See Explanation

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A <u>prime number</u> is a number that has only two factors, by 1 and itself.

A <u>composite number</u> on the other hand are numbers which have more than two factors.

To determine the number of prime cards needed to build each composite number, we first express the number as a product of its prime factors.

These are:

4=2X2

6=2X3

8=2X2X2

9=3X3

10=2X5

12=2X2X3

14=2X7

15=3X5

16=2X2X2X2

18=2X3X3

20=2X2X5

21=3X7

22=2X11

24=2X2X2X3

26=2X13

27=3X3X3

28=2X2X7

30=2X3X5

32=2X2X2X2X2

33=3X11

34=2X17

35=5X7

36=2X2X3X3

38=2X19

39=3X13

40=2X2X2X5

42=2X3X7

44=2X2X11

45=3X3X5

46=2X2X13

48=2X2X2X2X3

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Therefore for each of the numbers, those are the prime number cards to be used.

Take for example, the number 50, the prime numbers that will be used to build 50 are the prime factors of 50.

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Therefore, its prime factors are 2 and 5.

We will use the following prime number cards:

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