Question

I need help please.

Answer 1

Answer:

see explanation

Step-by-step explanation:

Using the rules of radicals/ exponents

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$

$a^{\frac{m}{n} }$ ⇔ $\sqrt[n]{a^{m} }$

Simplifying each term

7$\sqrt{x^{3} }$ = 7$x^{\frac{3}{2} }$

x$\sqrt{9x}$

= x × $\sqrt{9}$ × $\sqrt{x}$

= x × 3 × $x^{\frac{1}{2} }$

= 3 × $x^{(1+\frac{1}{2}) }$

= 3$x^{\frac{3}{2} }$

Subtracting the 2 simplified like terms, that is

7$x^{\frac{3}{2} }$ - 3$x^{\frac{3}{2} }$

= 4$x^{\frac{3}{2} }$ ← return to radical form

= 4$\sqrt{x^{3} }$