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Which expreion i equivalent to (x Supercript one-half Baeline y Supercript negative one-fourth Baeline z) Supercript negative 2?
StartFraction x Supercript one-half baeline Over y z quared EndFraction
StartFraction x Supercript one-half baeline Over y Supercript one-fourth Baeline z quared EndFraction
StartFraction y Supercript one-half Baeline Over x z quared EndFraction
StartFraction x z quared Over y Supercript one-half EndFraction



Answer :

Exponent characteristics will enable us to obtain the abbreviated expression is x ⁻¹  * y ⁻¹/² * z²

How might the given expression be made simpler?

Here's how to use the phrase:

(x ⁻¹/²  * y ⁻¹/⁴ * z)⁻²

Remember the exponent properties:

(a ⁿ)^m = a ⁿ*m

And:

(a*b)ⁿ = aⁿ * bⁿ

We may therefore rewrite: utilizing these two qualities.

(x ⁻¹/²  * y ⁻¹/⁴ * z)⁻²

(x ⁻¹/² )⁻² * (y ⁻¹/⁴)⁻² * (z)⁻²

x ⁻¹  * y ⁻¹/² * z²

We therefore get to the conclusion that the expression is:

x ⁻¹  * y ⁻¹/² * z²

To learn more about exponents:

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