Resposta:
a)
[tex]\sf \displaystyle 2^5 \cdot 2^3 = 2^{5+ 3} = 2^8 =256[/tex]
b)
[tex]\sf \displaystyle 8^7 \div 8^2 = 8^{7-2} = 8^5 =32.768[/tex]
c)
[tex]\sf \displaystyle [(-\:0,3)^4]^6 = (-\:0,3)^{4 \times 6} = (-\:0,3)^{24 }[/tex] → resulta da potência enorme.
d)
[tex]\sf \displaystyle (6^2)^5 = 6^{2 \times 5} = 6^{10} = 60.466.176[/tex]
e)
[tex]\sf \displaystyle \left( -\: \dfrac{4}{3} \right)^6 \div \left( -\: \dfrac{4}{3} \right)^6 = \left( -\: \dfrac{4}{3} \right)^{6-\:6} = \left( -\: \dfrac{4}{3} \right)^0 = 1[/tex]
f)
[tex]\sf \displaystyle \left( 13,5 \right)^3 \cdot \left( 13,5 \right)^{-\:7} = \left( 13,5 \right)^{3 -\:7} = \left( 13,5 \right)^ {-4} = \left( \dfrac { \diagup{\!\!\!135}}{ \diagup{\!\!\!10}} \right)^4 = \left( \dfrac{27}{2} \right)^ {4} = \dfrac{531.441}{16}[/tex]
Explicação passo-a-passo:
