Quanto é: [5^2x5^5x125^4]^3 : [25^2x5^2x5]^2 É uma pergunta inteira!
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Olá.
![\mathsf{\dfrac{[5^2\cdot5^5\cdot125^4]^3}{[25^2\cdot5^2\cdot5]^2}=}\\\\\\
\mathsf{\dfrac{[5^2\cdot5^5\cdot(5^3)^4]^3}{[(5^2)^2\cdot5^2\cdot5]^2}=}\\\\\\
\mathsf{\dfrac{[5^2\cdot5^5\cdot5^{12}]^3}{[5^4\cdot5^2\cdot5]^2}=}\\\\\\
\mathsf{\dfrac{[5^{2+5+12}]^3}{[5^{4+2+1}]^2}=}\\\\\\
\mathsf{\dfrac{[5^{19}]^3}{[5^{7}]^2}=}\\\\\\
\mathsf{\dfrac{5^{57}}{5^{14}}=}\\\\\\
\mathsf{5^{57-14}=}\\\\\boxed{\mathsf{5^{43}}}](https://tex.z-dn.net/?f=%5Cmathsf%7B%5Cdfrac%7B%5B5%5E2%5Ccdot5%5E5%5Ccdot125%5E4%5D%5E3%7D%7B%5B25%5E2%5Ccdot5%5E2%5Ccdot5%5D%5E2%7D%3D%7D%5C%5C%5C%5C%5C%5C%0A%5Cmathsf%7B%5Cdfrac%7B%5B5%5E2%5Ccdot5%5E5%5Ccdot%285%5E3%29%5E4%5D%5E3%7D%7B%5B%285%5E2%29%5E2%5Ccdot5%5E2%5Ccdot5%5D%5E2%7D%3D%7D%5C%5C%5C%5C%5C%5C%0A%5Cmathsf%7B%5Cdfrac%7B%5B5%5E2%5Ccdot5%5E5%5Ccdot5%5E%7B12%7D%5D%5E3%7D%7B%5B5%5E4%5Ccdot5%5E2%5Ccdot5%5D%5E2%7D%3D%7D%5C%5C%5C%5C%5C%5C%0A%5Cmathsf%7B%5Cdfrac%7B%5B5%5E%7B2%2B5%2B12%7D%5D%5E3%7D%7B%5B5%5E%7B4%2B2%2B1%7D%5D%5E2%7D%3D%7D%5C%5C%5C%5C%5C%5C%0A%5Cmathsf%7B%5Cdfrac%7B%5B5%5E%7B19%7D%5D%5E3%7D%7B%5B5%5E%7B7%7D%5D%5E2%7D%3D%7D%5C%5C%5C%5C%5C%5C%0A%5Cmathsf%7B%5Cdfrac%7B5%5E%7B57%7D%7D%7B5%5E%7B14%7D%7D%3D%7D%5C%5C%5C%5C%5C%5C%0A%5Cmathsf%7B5%5E%7B57-14%7D%3D%7D%5C%5C%5C%5C%5Cboxed%7B%5Cmathsf%7B5%5E%7B43%7D%7D%7D "\mathsf{\dfrac{[5^2\cdot5^5\cdot125^4]^3}{[25^2\cdot5^2\cdot5]^2}=}\\\\\\
\mathsf{\dfrac{[5^2\cdot5^5\cdot(5^3)^4]^3}{[(5^2)^2\cdot5^2\cdot5]^2}=}\\\\\\
\mathsf{\dfrac{[5^2\cdot5^5\cdot5^{12}]^3}{[5^4\cdot5^2\cdot5]^2}=}\\\\\\
\mathsf{\dfrac{[5^{2+5+12}]^3}{[5^{4+2+1}]^2}=}\\\\\\
\mathsf{\dfrac{[5^{19}]^3}{[5^{7}]^2}=}\\\\\\
\mathsf{\dfrac{5^{57}}{5^{14}}=}\\\\\\
\mathsf{5^{57-14}=}\\\\\boxed{\mathsf{5^{43}}}")
Qualquer dúvida, deixe nos comentários.
Bons estudos.
Qualquer dúvida, deixe nos comentários.
Bons estudos.
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