rodimon953 rodimon953

25-03-2024
Mathematics

contestada

Work out the value of k.
[tex] \frac{a \sqrt{a} }{ \ \sqrt[3]{ {a}^{2} \\ } } = {a}^{k} [/tex]

Respuesta :

nikvist nikvist

25-03-2024

Answer:

Step-by-step explanation:

[tex]\frac{a\sqrt a}{\sqrt[3]{a^2}}=\frac{a\cdot a^{1/2}}{a^{2/3}}=\frac{a^{3/2}}{a^{2/3}}=a^{5/6}=a^k,\quad k=\frac{5}{6}[/tex]

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