Question

a) 3×5 la puterea -1+4×5 la puterea -2+(-5) la puterea 0
b) [4+5×(3 supra 2) la puterea 0] totul la puterea -2​

Answer 1

Răspuns:

a) $\frac{44}{25}$

b)$\frac{1}{81}$

Explicație pas cu pas:

a) 3*$5^{-1}$+4*$5^{-2}$+$(-5)^{0}$=

3*$\frac{1}{5^{1} }$+ 4*$\frac{1}{5^{2} }$+1= $\frac{3}{5}$+ $\frac{4}{25}$ +1= $\frac{15+4+25}{25} = \frac{44}{25}$

b) [4+5*$(\frac{3}{2} )^{0}]^{-2}$=

$(4+5*1)^{-2}$= $9^{-2} = \frac{1}{9^{2} } = \frac{1}{81}$