Question

Imi puteti rezolva aceste exerciții la mate 0,25:[(-2) la puterea 9•(-2) la punerea -6: (-2) la puterea 2]totul la puterea -2

Answer 1

$0.25 \div {[ {( - 2)}^{9} \times {( - 2)}^{ - 6} \div {( - 2)}^{2} ] }^{ - 2}$

$= \frac{25}{100} \div {[ {( - 2)}^{9 + ( - 2) - 2} ] }^{ - 2}$

$= \frac{1}{4} \div {[ {( - 2)}^{9 - 2 - 2} ]}^{ - 2}$

$= \frac{1}{4} \div {[ {( - 2)}^{5} ]}^{ - 2}$

$= \frac{1}{4} \div {( - 2)}^{5 \times ( - 2)}$

$= \frac{1}{4} \div {( - 2)}^{ - 10}$

$= \frac{1}{4} \div \frac{1}{ {( - 2)}^{10} }$

$= \frac{1}{4} \times {( - 2)}^{10}$

$= \frac{ {( - 2)}^{10} }{4}$

$= \frac{ {2}^{10} }{ {2}^{2} }$

$= {2}^{10 - 2}$

$= {2}^{8}$

$= 256$