Hello there! I'll try to help you!
[tex]x^{m+2n} *x^{3m-8n}[/tex]
Add the powers:
[tex]x^{4m-6n}[/tex]
Notice that when we multiply the same variable, we add the powers. What I mean is the expression [tex]x^{2} y^{2}[/tex] wouldn't be simplified.
Now we have [tex]\frac{x^{4m-6n} }{x^{5m-6n} } }[/tex]
What we must do now is subtract the powers now that we divide
[tex]x^{4m-5m} :x^{6n-6n} \\x^{-m}[/tex]
Apply the Negative Exponent Law:
[tex]\frac{1}{x^{m} }[/tex]
And [tex]\frac{1}{x^{m} }[/tex] is our simplified expression.
I know it's too late but I hope this helps you anyway
Hope it helps and sorry to infinity if it is wrong
If it is correct, please mark Brainliest!
If it is wrong, rate 4 stars
[tex]GraceRosalia[/tex]
