The solution of the given expression is 9*[tex]x^{4}[/tex]/100.
GIven an expression equal to 27[tex]x^{12}[/tex]/300[tex]x^{8}[/tex].
We have to simplify the expression in which variable comes only once.
Expression is combination of numbers ,symbols, fraction, coefficients, indeterminants,determinants, etc. It is mostly not found in equal to form. It expresses a relationship between variables.
The given fraction is 27[tex]x^{12}[/tex]/300[tex]x^{8}[/tex].
When we observe we find that in numerator x has large power and denominator x has small power as compared to power in numerator. So we will deduct the powers so that they will give only one power to us.
=27[tex]x^{4}[/tex]/300
Now divide numerator an denominator by 3.
=9[tex]x^{4}[/tex]/300
Hence the expression 27[tex]x^{12} /300x^{8}[/tex] will look like [tex]9x^{4} /100[/tex] after simplifying.
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