O valor de [(2)³]⁵. [(½)⁴] é;

Resposta :

Olá, bom dia ☺

Resolução:

[tex]\left[ \left( 2 \right)^3 \right]^5 \cdot \left[ \left( \dfrac{1}{2} \right)^4 \right] \\ \\ \\ (2^{15}) \cdot \left( \dfrac{1}{16} \right) \\ \\ \\ (2^{15}) \cdot (2^{-4}) \\ \\ \\ = 2^{11} \ \text{ou 2048}[/tex]

Bons estudos :)

[tex] \sf\left[\left(2\right)^{3}\right]^{5} \ast\left[\left(\dfrac{1}{2}\right)^{4}\right] [/tex]

[tex] \sf \left(2^{15}\right)\ast\left(\dfrac{1}{16}\right)[/tex]

[tex] \sf \left( \dfrac{ {2}^{15} }{1} \ast \dfrac{1}{16}\right)[/tex]

[tex] \sf(2^{15}) \cdot (2^{-4})[/tex]

[tex] {(2)}^{15 - 4} [/tex]

[tex] {2}^{11} [/tex]