Question

Va rog frumos ajutați-mă.
Coroana. ​

Answer 1

Răspuns:

Explicație pas cu pas:

$\bf \Big[\big(5^{6}\big)^{5}\Big]^{3} =\Big(5^{6\cdot5}\Big)^{3}=\Big(5^{30}\Big)^{3}=5^{30\cdot3}=\red{\underline{~5^{90}~}}$

$\bf \Big[\big(7^{3}\big)^{2}\Big]^{5} =\Big(7^{3\cdot2}\Big)^{5}=\Big(7^{6}\Big)^{5}=7^{6\cdot5}=\purple{\underline{~7^{30}~}}$

$\bf \Big[\big(15^{3}\big)^{2}\Big]^{8} =\Big(15^{3\cdot2}\Big)^{8}=\Big(15^{6}\Big)^{8}=15^{6\cdot8}=\blue{\underline{~15^{48}~}}$

$\bf \Big[\big(19^{3}\big)^{4}\Big]^{2} =\Big(19^{3\cdot4}\Big)^{2}=\Big(19^{12}\Big)^{2}=19^{12\cdot2}=\green{\underline{~19^{24}~}}$

$\bf \Big[\big(11^{4}\big)^{2}\Big]^{5} =\Big(11^{4\cdot2}\Big)^{5}=\Big(11^{8}\Big)^{5}=11^{8\cdot5}=\red{\underline{~11^{40}~}}$

$\bf \Big[\big(13^{5}\big)^{3}\Big]^{2} =\Big(13^{5\cdot3}\Big)^{2}=\Big(13^{15}\Big)^{2}=13^{15\cdot2}=\pink{\underline{~13^{30}~}}$