Question

(5×1/4)²=
ayudaa porfa
​

Answer 1

Verified answer

RESOLVER:

[tex]\left(5\cdot \frac{1}{4}\right)^2[/tex]

Primero aplicamos la ley de los exponentes [tex]\left(a\cdot \:b\right)^n=a^nb^n[/tex]

[tex]\left(5\cdot \frac{1}{4}\right)^2=5^2\left(\frac{1}{4}\right)^2[/tex]

[tex]=5^2\left(\frac{1}{4}\right)^2[/tex]

[tex]5^2=25[/tex]

[tex]=25\left(\frac{1}{4}\right)^2[/tex]

Leyes de los exponentes [tex]\left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]

[tex]\left(\frac{1}{4}\right)^2=\frac{1^2}{4^2}[/tex]

[tex]=25\cdot \frac{1^2}{4^2}[/tex]

[tex]4^2=16[/tex]

[tex]=25\cdot \frac{1}{16}[/tex]

[tex]\boxed{=\frac{25}{16}}[/tex]

[tex]BUENA\:\:SUERTE[/tex]