Answer:

Step-by-step explanation:
Given expression:

The given expression needs to be simplified to the form 
Applying the exponents rule to simplify.

Writing all numbers as product of 3.
⇒ 
Writing each in exponents form.
⇒ 
Using power of a power rule ![[\ (a^x)^y=a^{xy}\ ]](https://tex.z-dn.net/?f=%5B%5C%20%28a%5Ex%29%5Ey%3Da%5E%7Bxy%7D%5C%20%5D)
⇒ 
Using multiplication rule of exponents ![[\ a^x\times a^y=a^{x+y}\ ]](https://tex.z-dn.net/?f=%5B%5C%20a%5Ex%5Ctimes%20a%5Ey%3Da%5E%7Bx%2By%7D%5C%20%5D)
⇒ 
⇒ 
So we have 
∴ 
Answer:
no solution
Step-by-step explanation:
X cannot equal itself minus 5, in the same way if we replace it by let's say, 6...
6 does not equal 6-5 (1)........ and by the way in this specific equation 6 is just an example it does not matter what you replace it with, x can never = x-5
Hope this helped! Good Luck!
Answer:
Decimal 0.333 to a fraction in simplest form is: 
Step-by-step explanation:
Given the decimal

Multiply and divide by 10 for every number after the decimal point.
There are three digits to the right of the decimal point, therefore multiply and divide by 1000.
Thus,

∵ 0.333×1000 = 333
Let us check if we can reduce the fraction 
For this, we need to find a common factor of 333 and 1000 in order to cancel it out.
But, first, we need to find the Greatest Common Divisor (GCD) of 333, 1000
<u>Greatest Common Divisor (GCD) : </u>
The GCD of a, b is the largest positive number that divides both a and b without a remainder.
Prime Factorization of 333: 3 · 3 · 37
Prime Factorization of 1000: 2 · 2 · 2 · 5 · 5 · 5
As there is no common factor for 333 and 1000, therefore, the GCD is 1.
Important Tip:
- As GCD is 1, therefore the fraction can not be simplified.
Therefore, decimal 0.333 to a fraction in simplest form is: 
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