Question

Simplify 14 to the 15th power over 14 to the 5th power . (4 points)

Answer 1

An expression is defined as a set of numbers, variables, and mathematical operations. The given expression when simplified will be equal to 14¹⁰. The correct option is A.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression can be simplified as shown below.

14¹⁵ / 14⁵

= 14¹⁵ × (1 / 14⁵)

Using the exponential property 1/aˣ = a⁻ˣ, we can write,

= 14¹⁵ x 14⁻⁵

Using the exponential property aˣ × aᵇ = a⁽ˣ⁺ᵇ⁾, we can write,

= 14⁽¹⁵⁻⁵⁾

= 14¹⁰

Hence, the given expression when simplified will be equal to 14¹⁰.

Learn more about Expression here:

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