Question

Calculati: (-27)la puterea a 10-a:(-9)la puterea a 15-a+(-3)la puterea a 8-a:(-3)la puterea a 6-a

Answer 1

${( - 27)}^{10} \div {( - 9)}^{15} + {( - 3)}^{8} \div {( - 3)}^{6}$

$= {( - {3}^{3} )}^{10} \div {( - { 3}^{2} )}^{15} + {3}^{8 - 6}$

$= {( - 3)}^{3 \times 10} \div {( - 3)}^{2 \times 15} + {3}^{2}$

$= {( - 3)}^{30} \div {( - 3)}^{30} + 9$

$= 1 + 9$

$= 10$