Question

(8/x)^2/3 × (3x)^5/3

Answer 1

Answer:

1728x3

Step-by-step explanation:

Answer 2

Answer:

$\boxed{4x\times 3^{\frac{5}{3}}}$

Step-by-step explanation:

$\frac{8}{x}^{2/3}\times(3x)^{5/3}$

$\implies \frac{2^3}{x}^{2/3}\times 3^{5/3}x^{5/3}$

$\implies\frac{2^2}{x^{2/3}}\times 3^{5/3}x^{5/3}$

$\implies \frac{4}{x^{2/3}}\times 3^{5/3}x^{5/3}$

$\implies 4\times3^{5/3}\times \frac{x^{5/3}}{x^{2/3}}$

Using the formula : $\frac{a^b}{a^c}=a^{b-c}$

$\implies 4\times 3^{5/3}\times x^{5/3-2/3}$

$\implies 4\times 3^{5/3}\times x^{3/3}$

$\implies 4\times 3^{5/3}\times x^1$

$\implies 4x\times 3^{5/3}$

Hope it helps ya :)

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