Question

A Forma Mais Simples de se Escrever a Expresão (x^2)^3 . (x^4)^5 . (x^3)^-7 , Com x /neq 0 , é:

Answer 1

$(a^{x})^{y}=a^{(x*y)}$
$a^{x}*a^{y}=a^{(x+y)}$
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$(x^{2})^{3}*(x^{4})^{5}*(x^{3})^{-7}=x^{6}*x^{20}*x^{-21}$
$(x^{2})^{3}*(x^{4})^{5}*(x^{3})^{-7}=x^{(6+20-21)}$
$(x^{2})^{3}*(x^{4})^{5}*(x^{3})^{-7}=x^{5}$

$\boxed{\boxed{(x^{2})^{3}*(x^{4})^{5}*(x^{3})^{-7}=x^{5}}}$

Answer 2

$\boxed{ (x^2)^3 . (x^4)^5 . (x^3)^{-7}=x^6.x^{20}.x^{-21}=x^{6+20-21}=x^5}$