Question

(5×1/4)²=
ayudaa porfa
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Answer 1

RESOLVER:

$\left(5\cdot \frac{1}{4}\right)^2$

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

$\left(5\cdot \frac{1}{4}\right)^2=5^2\left(\frac{1}{4}\right)^2$

$=5^2\left(\frac{1}{4}\right)^2$

$5^2=25$

$=25\left(\frac{1}{4}\right)^2$

Leyes de los exponentes $\left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}$

$\left(\frac{1}{4}\right)^2=\frac{1^2}{4^2}$

$=25\cdot \frac{1^2}{4^2}$

$4^2=16$

$=25\cdot \frac{1}{16}$

$\boxed{=\frac{25}{16}}$

$BUENA\:\:SUERTE$