Question

Square root of 300x to the fourth power

Answer 1

(300x)² = 90000x²

Step-by-step explanation:

Before we begin, remember the following rules:

`\sqrt[n]{x^(m)}=x^{(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)^{(4)/(2) }`

Now, we simplify the power to get:

`(300x)^{(4)/(2)}=(300x)^(2)`

Now, we apply the second rule mentioned above:

`(300x)^(2)=(300)^2 * (x)^2 = 90000x^2`

Hope this helps :)