Question

(x^3/2):9=16:(x^1/2) value of x=?​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

$\sf \frac{( {x)}^{ \frac{3}{2} } }{9} = \frac{16}{ {(x)}^{ \frac{1}{2} } }$

• by cross multiplying ,
• $\sf ( {x)}^{ \frac{3}{2} } \times ( {x)}^{ \frac{1}{2} } = 16 \times 9$
• when bases are equal powers must be added , then
• $\sf ( {x)}^{ \frac{3}{2} + \frac{1}{2} } = 16 \times 9$
• $\sf ( {x)}^{ \frac{4}{2} } = 16 \times 9$
• (x)² = 144
• x = √144 = 12
• Value of x = 12

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