Question

alguien me ayuda con esto?

Answer 1

Hola! :)

Llamaremos a los □ = x

a.
${4}^{7} = x \div {5}^{7} \\ \\ {4}^{7} = \frac{x}{ {5}^{7} } \\ \\ x = {4}^{7} \times {5}^{7} \\ \\ x = {(4 \times 5)}^{7} \\ \\ x = {20}^{7}$


b.
${3}^{5} = {9}^{7} \div x \\ \\{3}^{5} = {3}^{14} \div x \\ \\ x = {3}^{5} \times {3}^{14} \\ \\ x = {3}^{5 + 14} \\ \\ x = {3}^{19}$


c.
${({x}^{y})}^{ 3} = {2}^{12} \\ \\ {x}^{y} = \sqrt[3]{ {2}^{12} } \\ \\ {x}^{y} = {2}^{ \frac{12}{3} } \\ \\ {x}^{y} = {2}^{4} \\ \\ x = 2 \\ y = 4$