Question

SENDO A= 5° - 2 ELEVADO A -2, B= (1-1\2)ELEVADO A -1 E C= 12° - 3,CALCULE EM SEU CADERNO.

Answer 1

.
$A=5^0-2^{-2}=1- \frac{1}{4} = \frac{4-1}{4}= \frac{3}{4} \\ \\ B=(1- \frac{1}{2} )^{-1}=( \frac{2-1}{2})^{-1}=( \frac{1}{2} )^{-1}=2 \\ \\ C=12^0-3=1-3=-2 \\-------------- \\ A^B=( \frac{3}{4} )^2= \frac{9}{16} \\--------- \\ (B-A)^C=(2- \frac{3}{4} )^{-2}=( \frac{8-3}{4} )^{-2}=( \frac{5}{4} )^{-2}=( \frac{4}{5})^2= \frac{16}{25}$
---------------------
$( \frac{A.B}{C} )^C=[( \frac{3}{4} \times2)\div(-2)]^{-2}= \\ \\ ( \frac{3}{2} \times(- \frac{1}{2} )]^{-2}= \\ \\ (- \frac{3}{4} )^{-2}=(- \frac{4}{3} )^2=+ \frac{16}{9}$