Respuesta:
1) 729
2) 4096
3) [tex](xyz)^{17}[/tex]
4) [tex]a^{3}[/tex]
5) 47
6) 97
7) 25
8) -3
9) 2
10) 4
Explicación paso a paso:
1) [tex][(-3)^{2} ]^{3} = (-3)^{2x3} =(-3)^{6} =729[/tex]
2) [tex]\frac{(-8)^{6} }{(-8)^{2} } =(-8)^{6-2} = (-8)^{4} =4096[/tex]
3) [tex](xyz)^{5} x [(xyz)^{2} ]^{6} =(xyz)^{5} x (xyz)^{2x6}=(xyz)^{5} x (xyz)^{12} = (xyz)^{5+12}=(xyz)^{17}[/tex]
4) [tex]\frac{(a^{2})^{3} x a^{8}x(a^{3})^{2} }{a^{16} x a} =\frac{a^{2x3}xa^{8} x a^{3x2}}{a^{16+1} } =\frac{a^{6+8+6} }{a^{17} } =\frac{a^{20} }{a^{17} } =a^{20-17} =a^{3}[/tex]
5) [tex](2^{3} )^{2} -(5^{3})^{0} -(-4)^{2} = 2^{3x2}-5^{3x0} -(+16)=2^{6} -5^{0} -16=64-1-16=47[/tex]
6) [tex](-5)^{2} -(-3)^{2} x(-2)^{3} =25-(+9)x(-8)=25-(-72)=25+72=97[/tex]
7) [tex][8-(3^{5} \div 3^{4} )]^{3} =[8-(3^{5-4} )]^{3} = [8-(3^{1} )]^{3}=[8-3]^{3} =[5]^{3} =25[/tex]
8) [tex]\frac{(-3)^{5} (-3)^{6}(-3)^{7}(-3)^{8}}{(-3)^{25} } =\frac{(-3)^{5+6+7+8}}{(-3)^{25}} =\frac{(-3)^{26}}{(-3)^{25}} =(-3)^{26-25}=(-3)^{1}= -3[/tex]
9) [tex]2^{5^{0^7}}=2^{5^{0}}=2^{1}=2[/tex]
10) [tex]2^{2^{3^0}}=2^{2^{1}}=2^{2} =4[/tex]
espero que te sirva :)
