korzystam ze wzorów:
[tex]x^{0} =1 ~~gdy ~~x\in R - \{ 0 \}\\\\(x^{n} )^{m} =x^{n\cdot m}\\\\x^{n} \cdot x^{m} = x^{n+m} \\\\x^{n} \div x^{m} =\dfrac{x^{n} }{x^{m} } =x^{n-m}[/tex]
[tex]x^{14} \div \dfrac{(x^{3} )^{11} }{(x^{10} )^{2} } -(x\cdot x^{23} +(x^{5} )^{6}\div (x^{9} )^{7} )^{0} =x^{14} \div \dfrac{x^{33} }{x^{20} } -(x^{24} +x^{30} \div x^{63} )^{0}=x^{14} \div x^{13} -(x^{24} +x^{-33} )^{0} =x-(x^{24} +x^{-33} )^{0}\\\\x^{14} \div \dfrac{(x^{3} )^{11} }{(x^{10} )^{2} } -(x\cdot x^{23} +(x^{5} )^{6}\div (x^{9} )^{7} )^{0} =x-(x^{24} +x^{-33} )^{0}\\\\dla~~x=-1\\\\-1-((-1)^{24} +(-1)^{-33} )^{0}=-1-(1+(\frac{1}{-1} )^{33} )^{0} =-1-(1+(-1)^{33} ^{0} =-1-(1-1)^{0} =-1-0^{0}=-1[/tex]
Odp: Wartość wyrażenia dla x = -1 wynosi C. -1
