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Olá.
![\mathsf{\{[(x^{-2}\cdot x^{-3})^{-5}]^{-1}\}^{-2}=}\\\\\mathsf{\{[(x^{-2+(-3)})^{-5}]^{-1}\}^{-2}=}\\\\\mathsf{\{[(x^{-2-3})^{-5}]^{-1}\}^{-2}=}\\\\\mathsf{\{[(x^{-5})^{-5}]^{-1}\}^{-2}=}\\\\\mathsf{\{[x^{-5\cdot(-5)}]^{-1}\}^{-2}=}\\\\\mathsf{\{[x^{25}]^{-1}\}^{-2}=}\\\\\mathsf{\{\ x^{25\cdot(-1)}\}^{-2}=}\\\\\mathsf{\{\ x^{-25}\}^{-2}=}\\\\
\mathsf{x^{-25\cdot(-2)}=}\\\\\boxed{\mathsf{x^{50}}}](https://tex.z-dn.net/?f=%5Cmathsf%7B%5C%7B%5B%28x%5E%7B-2%7D%5Ccdot+x%5E%7B-3%7D%29%5E%7B-5%7D%5D%5E%7B-1%7D%5C%7D%5E%7B-2%7D%3D%7D%5C%5C%5C%5C%5Cmathsf%7B%5C%7B%5B%28x%5E%7B-2%2B%28-3%29%7D%29%5E%7B-5%7D%5D%5E%7B-1%7D%5C%7D%5E%7B-2%7D%3D%7D%5C%5C%5C%5C%5Cmathsf%7B%5C%7B%5B%28x%5E%7B-2-3%7D%29%5E%7B-5%7D%5D%5E%7B-1%7D%5C%7D%5E%7B-2%7D%3D%7D%5C%5C%5C%5C%5Cmathsf%7B%5C%7B%5B%28x%5E%7B-5%7D%29%5E%7B-5%7D%5D%5E%7B-1%7D%5C%7D%5E%7B-2%7D%3D%7D%5C%5C%5C%5C%5Cmathsf%7B%5C%7B%5Bx%5E%7B-5%5Ccdot%28-5%29%7D%5D%5E%7B-1%7D%5C%7D%5E%7B-2%7D%3D%7D%5C%5C%5C%5C%5Cmathsf%7B%5C%7B%5Bx%5E%7B25%7D%5D%5E%7B-1%7D%5C%7D%5E%7B-2%7D%3D%7D%5C%5C%5C%5C%5Cmathsf%7B%5C%7B%5C+x%5E%7B25%5Ccdot%28-1%29%7D%5C%7D%5E%7B-2%7D%3D%7D%5C%5C%5C%5C%5Cmathsf%7B%5C%7B%5C+x%5E%7B-25%7D%5C%7D%5E%7B-2%7D%3D%7D%5C%5C%5C%5C%0A%5Cmathsf%7Bx%5E%7B-25%5Ccdot%28-2%29%7D%3D%7D%5C%5C%5C%5C%5Cboxed%7B%5Cmathsf%7Bx%5E%7B50%7D%7D%7D "\mathsf{\{[(x^{-2}\cdot x^{-3})^{-5}]^{-1}\}^{-2}=}\\\\\mathsf{\{[(x^{-2+(-3)})^{-5}]^{-1}\}^{-2}=}\\\\\mathsf{\{[(x^{-2-3})^{-5}]^{-1}\}^{-2}=}\\\\\mathsf{\{[(x^{-5})^{-5}]^{-1}\}^{-2}=}\\\\\mathsf{\{[x^{-5\cdot(-5)}]^{-1}\}^{-2}=}\\\\\mathsf{\{[x^{25}]^{-1}\}^{-2}=}\\\\\mathsf{\{\ x^{25\cdot(-1)}\}^{-2}=}\\\\\mathsf{\{\ x^{-25}\}^{-2}=}\\\\
\mathsf{x^{-25\cdot(-2)}=}\\\\\boxed{\mathsf{x^{50}}}")
Qualquer dúvida, deixe nos comentários.
Bons estudos.
Qualquer dúvida, deixe nos comentários.
Bons estudos.
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