Question

Choose the expression that is equivalent to the quantity 9 raised to the negative second power times 9 raised to the seventh power end quantity all raised to the negative third power −99 negative 1 divided by 9 raised to the sixth power 1 divided by 9 raised to the fifteenth power 927

Answer 1

The simplification of the given indices is; D: nine raised to the fourth power divided by three raised to the tenth power

How to use the Law of Indices?

• We want to find the expression that is equivalent to the quantity nine raised to the negative second power times three raised to the fifth power end quantity all raised to the negative second power.
• Indices display the results of multiples of a number, such as squared or cubed, or they display the roots of numbers, such as the square root.
• The laws of indices can be used to condense some indexed terms.

This is written as;

(9⁻² * 3⁵)⁻²

According to laws of indices, we know that;

(a²)³ = a²*³ = a⁶

Thus;

(9⁻² * 3⁵)⁻²= (9⁻²)⁻² * (3⁵)⁻²

⇒ 9⁴ * 1/3¹⁰

⇒ 9⁴/3¹⁰

To know more about indices check the below link:

https://brainly.com/question/12985890

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