Question

((2*x^3)^5*(2x^2)^4)/(4*x^5)^4=54

Помогите плииз!

Answer 1

1) ( 2х^3)^5 • ( 2х^2)^4 = ( 2^5 )•(х^15)•(2^4)•(х^8 ) = ( 2^9 )•(х^23 )
2) (4х^5)^4 = ( 4^4)•( х^20) = ( 2^8 )•( х^20 )
3) [ (2^9)•(х^23)] : [ ( 2^8 )•( х^20 ) ] = 2х^3
4) 2х^3 = 54
Х^3 = 54 : 2 = 27 = 3^3
Х = 3
Ответ 3

Answer 2

$frac{(2x^3)^5*(2x^2)^4}{(4x^5)^4}=54\frac{2^5*x^{15}*2^4x^8}{4^4x^{20}}=54\frac{2^{5+4}*x^{15+8}}{(2^2)^4x^{20}}=54\frac{2^9*x^{23}}{2^8x^{20}}=54\2^{9-8}*x^{23-20}=54\2^1*x^3=54\x^3=frac{54}{2}=27\x=3$