Question

Решите уравнение (2х^3)^5×(2х^2)^4÷(4х^5)^4=54

Answer 1

$frac{(2x^{3})^{5}*(2x^{2})^{4}}{(4x^{5})^{4}}=54 \frac{2^{5}x^{15}*2^{4}x^{8}}{2^{8}x^{20}}=54 \ 2^{5+4-8}x^{15+8-20}=54 \ 2x^{3}=54 \ x^{3}=27 \ x= sqrt[3]{3^{3}} \ x=3$