[tex]1. \\\\a) (6x)^2=36x^2\\b) (7m)^2=49m^2\\c) (5y)^3=25y^2*5y=125y^3\\d) (3p)^3=9p^2*3p=27p^3\\e) (2n)^5=8n^3*4n^2=32n^5\\f) (10w)^4=10000w^4[/tex]
[tex]2. \\a) (\frac57)^2=\frac{25}{49}\\\\b) (\frac9{10})^2=\frac{81}{100}\\\\c) (\frac25)^3=\frac{8}{125}\\\\d) (\frac3{10})^3=\frac{27}{1000}\\\\e) (\frac{x}6)^2=\frac{x^2}{36}\\\\f) (\frac{m}{10})^3=\frac{m^3}{1000}\\\\g) (\frac5p)^2=\frac{25}{p^2}\\\\h) (\frac2y)^4=\frac{16}{y^4}[/tex]
[tex]3. \\\\(2:3)^5=(\frac23)^5=\frac{2^5}{3^5}=2^5:3^5\\\frac{3^5}{2^5}=3^5:2^5=(\frac32)^5=(3:2)^5=1.5^5\\3^5*2^5=(2*3)^5=6^5\\\frac13*2^5=\frac{2^5}3[/tex]
