Respuesta:
ejercicio 1 y 2
[tex]{81}^{-2} \times {3}^{-7} =
({3}^{4})^{ - 2} \times {3}^{ - 7} =
{3}^{ - 8} \times {3}^{ - 7} = {3}^{ - 15}[/tex]
[tex]16 \times{8}^{ - 2}\times{2}^{2} =
{2}^{4} \times { ({2}^{3} })^{ - 2} \times {2}^{2} =[/tex]
[tex]{2}^{4} \times{2}^{ - 6} \times {2}^{2} = [/tex]
suma de exponentes 4+(-6)+2=4-6+2=6-6=0
[tex]= {2}^{0} = 1[/tex]
Explicación paso a paso:
ejercicio 3
[tex]{25}^{- 3} \times {5}^{ - 6} \times 125 = [/tex]
[tex] ({5}^{2})^{-3} \times {5}^{ - 6} \times {5}^{3} = [/tex]
[tex] {5}^{- 6} \times {5}^{ - 6} \times {5}^{3 = } [/tex]
[tex] = {5}^{ - 9} [/tex]
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Verified answer
Respuesta:
ejercicio 1 y 2
[tex]{81}^{-2} \times {3}^{-7} =
({3}^{4})^{ - 2} \times {3}^{ - 7} =
{3}^{ - 8} \times {3}^{ - 7} = {3}^{ - 15}[/tex]
[tex]16 \times{8}^{ - 2}\times{2}^{2} =
{2}^{4} \times { ({2}^{3} })^{ - 2} \times {2}^{2} =[/tex]
[tex]{2}^{4} \times{2}^{ - 6} \times {2}^{2} = [/tex]
suma de exponentes 4+(-6)+2=4-6+2=6-6=0
[tex]= {2}^{0} = 1[/tex]
Explicación paso a paso:
ejercicio 3
[tex]{25}^{- 3} \times {5}^{ - 6} \times 125 = [/tex]
[tex] ({5}^{2})^{-3} \times {5}^{ - 6} \times {5}^{3} = [/tex]
[tex] {5}^{- 6} \times {5}^{ - 6} \times {5}^{3 = } [/tex]
[tex] = {5}^{ - 9} [/tex]