Question

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

1410

110

143

13

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.