Which expression is equivalent to quantity y raised to the negative second power times z raised to the third power end quantity over quantity z raised to the negative fourth power times y raised to the fifth power end quantity all raised to the negative second power?

y raised to the seventh power over z raised to the seventh power
z raised to the seventh power over y raised to the seventh power
y raised to the fourteenth power over z raised to the fourteenth power
z raised to the fourteenth power over y raised to the fourteenth power

Respuesta :

Answer:

Step-by-step explanation:

Ver imagen jmichael2010

Answer: y raised to the fourteenth power over z squared.

Step-by-step explanation:

Substitute into the expression:

{y^-2 × z³/z^-4 × y^5 }^-2

Following the law of indices, we have the following:

{y^-2 -5 z^3-(-4) }^-2

{y^-7 z^7}^-2

y^-14 z^14

z^14/y^14

RELAXING NOICE
Relax