Question

alguém me ajuda? não faço idéia de como fazer isso.​

Answer 1

Espero ter ajudado.

A

$\left(\frac{7^4}{7^3}\right)^2\\\\\frac{\left(7^4\right)^2}{\left(7^3\right)^2}\\\\\frac{5764801}{117649}\\\\=49$

B

$\frac{\left(11^4\right)^5}{\left(11^2\right)^5}\\\\\frac{11^{20}}{11^{10}}\\\\11^{20-10}\\\\11^{10}\\\\=25937424601$

C

$2^{3^2}\left(2^3\right)^2\\\\2^{3^2}\cdot \:2^6\\\\2^{3^2+6}\\\\2^{9+6}\\\\2^{15}\\\\=32768$

D

$\frac{256\cdot \:4^2}{8^3}\\\\\frac{2^8\cdot \:2^4}{2^9}\\\\\frac{2^{12}}{2^9}\\\\2^3 = 8$

E

$\frac{27\cdot \:81}{243}\\\\\frac{2187}{243}\\\\=9$

F

$\frac{3^6\cdot \:27^2}{243}\\\\\frac{3^6\cdot \:27^2}{3^5}\\\\27^2\cdot \:3\\\\729\cdot \:3\\\\=2187$

G

$\left(x^2x^3\right)^3\\\\\left(x^2\right)^3\left(x^3\right)^3\\\\x^6x^9\\\\x^{6+9}=x^{15}$

H

$\left(\frac{a^3}{a^2}\right)^4\\\\\frac{a^{12}}{a^8}\\\\a^{12-8}\\\\=a^4$

I

$\left(m^5\right)^2\\\\m^{5\cdot \:2}\\\\=m^{10}$