Question

(3x)^2*(1/9x)^1/2 simplify ​

Answer 1

Step-by-step explanation:

^2+^1=3

3=3x-9x

3=3x^2/2

9/2=4.5^2

4.5^2

Answer 2

$3 {x}^{2} \times {( \frac{1}{9x} )}^{ \frac{1}{2} } \\ \\ \implies3 {x}^{2} \times \sqrt{ \frac{1}{9x} } \\ \\ \implies \cancel{3 }{x}^{2} \times \frac{1}{ \cancel{3} } \sqrt{ \frac{1}{x} } \\ \\ \implies \frac{ {x}^{2} }{ \sqrt{x} } \\ \\ \implies \: \frac{x \times x}{ \sqrt{x} } \\ \\ \implies \frac{ x \times ( \sqrt{x } \times \cancel{\sqrt{x} } )}{ \cancel{\sqrt{x} }} \\ \\ \implies x \sqrt{x} \implies {(x)}^{ \frac{3}{2} } \\ \\ \\ \\ \underline{\boxed{\sf{3 {x}^{2} \times { \huge( \small\frac{1}{9x} \huge )\small}^{ \frac{1}{2} } = x \sqrt{x} \: or \: {(x)}^{ \frac{3}{2} } }}}$