When the given exponential expression (g³6³p⁷) / (6g²p²p) is simplified, it is equal to 6gp⁴.
<h3>What is an Expression?</h3>
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 exponential expression can be simplified as shown below.
(g³ × 6³ × p⁷) / (6 × g² × p² × p)
Using the exponential property, xⁿ × xᵇ = x⁽ⁿ⁺ᵇ⁾,
= (6³ × g³ × p⁷) / (6 × g² × p³)
= (6³/6) × (g³/g²) × (p⁷/p³)
Using the exponential property, xⁿ/xᵇ = x⁽ⁿ⁻ᵇ⁾
= 6⁽³⁻¹⁾ × g⁽³⁻²⁾ × p⁽⁷⁻³⁾
= 6¹ × g¹ × p⁴
= 6gp⁴
Hence, when the given exponential expression (g³6³p⁷) / (6g²p²p) is simplified, it is equal to 6gp⁴.
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