Respuesta :

mhanifa

Answer:

  • [tex]\frac{1}{16} a^{16} b^{10}[/tex]

Step-by-step explanation:

  • [tex](\frac{1}{4} a^8b^5)^{2}[/tex] =
  • [tex](\frac{1}{4}) ^{2} a^{8*2} b^{5*2}[/tex] =
  • [tex]\frac{1}{16} a^{16} b^{10}[/tex]
  • (ab)^n=a^n×b^n

So

[tex]\\ \rm\Rrightarrow (\dfrac{1}{4}a^4b^5)^2[/tex]

[tex]\\ \rm\Rrightarrow 1/16a^{4×2}b^{5×2}[/tex]

[tex]\\ \rm\Rrightarrow 1/16a^8b^{10}[/tex]