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?

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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?

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AFOKE88id AFOKE88id · Answer 1

The simplification of the given expression using laws of Indices is; y³z⁷

How to use Laws of Indices?

We want to simplify the expression 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.

The above can be expressed as;

(y⁻² * z³)/(z⁻⁴ * y⁵)

Collecting like terms gives;

(y⁻²/y⁵) * (z³/z⁻⁴)

= y⁻² ⁺ ⁵ * z³ ⁺ ⁴

= y³z⁷

Read more about Laws of Indices at; https://brainly.com/question/10339517

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