Step-by-step explanation:
We have,
[tex]\sqrt{x(0.49)}x^{18}[/tex]
To find, the value of [tex]\sqrt{x(0.49)}x^{18}[/tex] = ?
∴ [tex]\sqrt{x(0.49)}x^{18}[/tex]
= [tex]0.7x^{\dfrac{1}{2}} x^{18}[/tex]
= [tex]0.7x^{18+\dfrac{1}{2}}[/tex]
Using the identity,
[tex]a^{m}.a^{n}=a^{m+n}[/tex]
= [tex]0.7x^{\dfrac{36+1}{2}}[/tex]
= [tex]0.7x^{\dfrac{37}{2}}[/tex]
Thus, the value of [tex]\sqrt{x(0.49)}x^{18}[/tex] = [tex]0.49x^{\dfrac{37}{2}}[/tex]
