Question

simplifique e determine o resultado final
a) 2⁷ • 4⁵• 2‐⁸

ME AJUDEM POR FVR :(


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Answer 1

Resposta:

Olá bom dia!

Propriedades da potenciação:

$\frac{a^m}{a^n} = a^{m-n}\\\\a^m*a^n = a^{m+n}\\\\(a^m)^n = a^{m*n}\\\\a^{-m} = \frac{1}{a^m}$

d)

$\frac{3^5*3^9}{3^{11}} \\\\= \frac{3^{5+4}}{3^{11}} \\\\= \frac{3^9}{3^{11}} \\\\= 3^{9-11}\\\\= 3^{-2}\\\\= \frac{1}{3^2}\\\\= \frac{1}{9}$

e)

$\frac{(3^2)^3*{3^2}^{3}}{3^{3^2}} \\\\=\frac{3^6*3^8}{3^9} \\\\= \frac{3^{6+8}}{3^9} \\\\= \frac{3^{14}}{3^9} \\\\=3^{14-9}\\\\=3^5\\\\= 243$