Question

aplique as propriedades das potencias que seja conveniente em cada caso:​

Answer 1

Explicação passo-a-passo:

a) $\sf 5^4\cdot5^2=5^{4+2}=\red{5^6}$

b) $\sf 2^8\div2^5=2^{8-5}=\red{2^3}$

c) $\sf (5^3)^2=5^{3\cdot2}=\red{5^6}$

d) $\sf (4^5)^{-3}=4^{5\cdot(-3)}=\red{4^{-15}}$

e) $\sf (2\cdot4)^3=\red{2^3\cdot4^3}$

f) $\sf (6\div4)^2=\red{6^2\div4^2}$

g) $\sf 2^{-2}\div2^{6}=2^{-2-6}=\red{2^{-8}}$

h) $\sf ((7^2)^3)^4=7^{2\cdot3\cdot4}=\red{7^{24}}$

i) $\sf (12\cdot9)^3=\red{12^3\cdot9^3}$

j) $\sf 5^2\cdot5^3=5^{2+3}=\red{5^5}$