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Express in simplest radical form.x, squared, square root of, x, to the power 9 , end square rootx 2 x 9 ​

Question

Express in simplest radical form.

Given the expression:
x2x9 x^2 \sqrt{x^9}
Simplified, this expression combines the exponent and root properties.

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Solution

The expression you provided seems to be a bit unclear. However, if you're asking to simplify the square root of x to the power of 9, here's how you can do it:

Step 1: Write down the expression √(x^9)

Step 2: Break down the exponent inside the square root into a multiple of 2 (since we're dealing with a square root) and keep the remainder (if any). In this case, 9 = 2*4 + 1.

So, we can write x^9 as (x^8) * (x^1).

Step 3: Simplify the square root using the rule √(a*b) = √a * √b.

So, √(x^9) = √(x^8) * √(x^1).

Step 4: Simplify further. The square root of x^8 is x^4 (since (x^4)^2 = x^8). The square root of x^1 is just √x.

So, √(x^9) = x^4 * √x.

So, the simplest radical form of √(x^9) is x^4√x.

This problem has been solved

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