Respuesta :

Answer:

k^14

Step-by-step explanation:

An expression is defined as a set of numbers, variables, and mathematical operations. The simplification of the given expression (k¹³/k⁵)×(k¹⁷/k¹¹) is k¹⁴.

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 simplification of the given expression (k¹³/k⁵)×(k¹⁷/k¹¹) can be done as,

[tex]\dfrac{k^{13}}{k^5} \times \dfrac{k^{17}}{k^{11}}\\\\= k^{(13-5)} \times k^{(17-11)}\\\\= k^8 \times k^6\\\\= k^{(8+6)}\\\\=k^{14}[/tex]

Hence, The simplification of the given expression (k¹³/k⁵)×(k¹⁷/k¹¹) is k¹⁴.

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