1.a) \(\left(\frac{3}{5}\right)^{15}:\left(\frac{9}{25}\right)^5=\frac{3^{15}}{5^{15}}.\frac{5^{10}}{3^{10}}=\frac{3^5}{5^5}=\left(\frac{3}{5}\right)^5\)
b)\(\left(\frac{2}{3}\right)^{10}:\left(\frac{4}{9}\right)^4=\frac{2^{10}}{3^{10}}.\frac{3^8}{2^8}=\frac{2^2}{3^2}=\left(\frac{2}{3}\right)^2\)
2.
a)\(2^x=4\Rightarrow2^x=2^2\Rightarrow x=2\)
b)\(x^3=-27\Rightarrow x^3=-3^3\Rightarrow x=-3\)
c)\(x^2=16\Rightarrow x=\pm4\)
d)\(\left(x+1\right)^2=9\Rightarrow\hept{\begin{cases}x+1=3\Rightarrow x=2\\x+1=-3\Rightarrow x=-4\end{cases}}\)
các bạn giúp mình nhé, mình sẽ k cho 3 bạn đúng và nhanh nhé
a, \(\left(\frac{3}{5}\right)^{15}:\left(\frac{3}{5}\right)^{2.5}=\left(\frac{3}{5}\right)^5\)
b,\(\left(\frac{2}{3}\right)^{10}:\left(\frac{2}{3}\right)^{2.4}=\left(\frac{2}{3}\right)^2\)
2
a , 2x = 4
2x = 22
x=2
b tuong tu
c x2 = 42 =(-4)2
d 2 tuong hop
x+1 = 3; x+1=-3
Bài 1 :
a/ ( 3/5 )15: ( 9/25 )5 =243/3125
b/ (2/3)10 (4/9)4
Bài 2 :
a/ 2x=4 suy ra :x=2
b/ x3= - 27 suy ra : x = - 3
c/ x2=16 suy ra :x =4
d/ (x+1)2 =9 suy ra : x=2
