Question

Вычислите: (2х)^5*(2х)^3*2 /(4х)^3*8х^4= -3 (5х)^7*(5x)^4*25/(25x^2)4*125x^2=100 ^-степень /-деление

Answer 1

$\frac{(2 x)^{5}( 2x)^{3}2 }{ (4x)^{3} (8x)^{4} }=-3 \\ \frac{32 x^{5}8 x^{3} 2 }{64 x^{3}8 x^{4} }=-3 \\ x=-3 \\ \\ \frac{ (5x)^{7} (5x)^{4}25 }{(25 x^{2} )^{4}125 x^{2} } =100 \\ \frac{ 5^{7} x^{7} 5^{4} x^{4} 5^{2} }{ 5^{8} x^{8} 5^{3} x^{2} }=100 \\ \frac{ 5^{13} x^{11} }{ 5^{11} x^{10} }=100 \\ 25x=100 \\ x=4$

Answer 2

$(2x)^5*(2x)^3*2/(4x)^3*8x^4=-3$
$32x^5*8x^3*2/64x^3*8x^4=-3$
x=-3

$(5x)^7*(5x)^4*25/(25x^2)^4*125x^2=100$
$5^7x^7*5^4x^4*5^2/(5^8x^8*5^3x^2)=100$
25x=100
x=4