Question

Resolva
a^3×(b^-1×c^10)^4
______________
(a^-2×b^2)^-1×c^5

Answer 1

Explicação passo-a-passo:

${a^3\times(b^{-1}\times c^{10})^4\over(a^{-2}\times b^2)^{-1}\times c^5}=\\ \\ {a^3\times b^{-4}\times c^{40}\over a^2\times b^{-2}\times c^5}=\\ \\ a^3:a^2\times b^{-4}:b^{-2}\times c^{40}:c^5=\\ \\ a^{3-2}\times b^{-4+2}\times c^{40-5}=\\ \\ a\times b^{-2}\times c^{35}={a.c^{35}\over b^2}$