Answer:
(300x)² = 90000x²
Explanation:
Before we begin, remember the following rules:
[tex]\sqrt[n]{x^{m}}=x^{\frac{m}{n} }[/tex]
[tex](xy)^{m} = x^m * y^m[/tex]
Now, for the given problem, we have:
Square root of 300x to the fourth power
This translates into the following:
[tex]\sqrt[2]{(300x)^{4} }[/tex]
Applying the first rule mentioned above, we get:
[tex]\sqrt[2]{(300x)^{4}}=(300x)^{\frac{4}{2} }[/tex]
Now, we simplify the power to get:
[tex](300x)^{\frac{4}{2}}=(300x)^{2}[/tex]
Now, we apply the second rule mentioned above:
[tex](300x)^{2}=(300)^2 * (x)^2 = 90000x^2[/tex]
Hope this helps :)
