Question

simplificar aplicando las propiedades de potenciacion​

Answer 1

Respuesta:

y^8 . z^4 / x^6

Explicación paso a paso:

x^-3 / x^-6

= x^( - 3 - ( - 6 ) )

= x^( - 3 + 6 )

= x^3

y^-5 / y^-1

= y^( - 5 - ( - 1 ) )

= y^( - 5 + 1 )

= y^-4

z^2 / z^4

= z^( 2 - 4 )

= z^-2

[ ( x^-3 / x^-6 ) . ( y^-5 / y^- 1 ) . ( z^2 / z^4 ) ]^-2

= [ ( x^3 . y^-4 . z^-2 ) ]^-2

= ( x^3 )^-2 . ( y^-4 )^-2 . ( z^-2 )^-2

= ( x^( 3 * - 2 ) ) . ( y^( - 4 * - 2 ) ) . ( z^( - 2 * - 2 ) )

= x^-6 . y^8 . z^4

= y^8 . z^4 / x^6