Question

I need help please.

Answer 1

see explanation

Explanation:

Using the rules of radicals/ exponents

`a^(m)` ×
`a^(n)` =
`a^((m+n))`

`a^{(m)/(n) }` ⇔
`\sqrt[n]{a^(m) }`

Simplifying each term

7
`\sqrt{x^(3) }` = 7
`x^{(3)/(2) }`

x
`√(9x)`

= x ×
`√(9)` ×
`√(x)`

= x × 3 ×
`x^{(1)/(2) }`

= 3 ×
`x^{(1+(1)/(2)) }`

= 3
`x^{(3)/(2) }`

Subtracting the 2 simplified like terms, that is

7
`x^{(3)/(2) }` - 3
`x^{(3)/(2) }`

= 4
`x^{(3)/(2) }` ← return to radical form

= 4
`\sqrt{x^(3) }`