Question

Square root of 300x to the fourth power

Answer 1

Answer:

(300x)² = 90000x²

Explanation:

Before we begin, remember the following rules:

$\sqrt[n]{x^{m}}=x^{\frac{m}{n} }$

$(xy)^{m} = x^m * y^m$

Now, for the given problem, we have:

Square root of 300x to the fourth power

This translates into the following:

$\sqrt[2]{(300x)^{4} }$

Applying the first rule mentioned above, we get:

$\sqrt[2]{(300x)^{4}}=(300x)^{\frac{4}{2} }$

Now, we simplify the power to get:

$(300x)^{\frac{4}{2}}=(300x)^{2}$

Now, we apply the second rule mentioned above:

$(300x)^{2}=(300)^2 * (x)^2 = 90000x^2$

Hope this helps :)