Question

Efectuati scriind rezultatul sub forma de puteri [(3⁶)³ : ( 3×3¹⁰)⁶
după
(2¹⁵×2¹⁷×2);(2⁷)³
c) (7²×7¹²)⁵:[(7²)³]⁵
(5⁸)⁶:(5¹⁰×5¹³×5)​

Answer 1

Răspuns:

${(3 \times {3}^{10})}^{6} = ( { {3}^{11} })^{6} = {3}^{66}$

$( {2}^{15} \times {2}^{17} \times 2) \div ( { {2}^{7} })^{3} = ( {2}^{15 + 17 + 1} ) \div {2}^{7 \times 3} = {2}^{23} \div {2}^{21} = {2}^{2}$

$( { {7}^{2} \times {7}^{12}})^{5} \div (( { {7}^{2} )^{ 3} })^{5} = ( { {7}^{14} })^{5} \div {7}^{2 \times 3 \times 5} = {7}^{70} \div {7}^{ 30} = {7}^{40}$

$( { {5}^{8} })^{6} \div ( {5}^{10} \times {5}^{13} \times 5) = {5}^{48} \div {5}^{24} = {5}^{24}$

Succes!