simplify square root of 5^6
okay lets say this:
the square root of 9 is three because 3*3=9.
just like four is 2 because 2*=4
so if its 5^6, divide it into equal parts. since six is an even number, you can divide it like 5^3 beacause 5^3*5^3=5^6
To simplify the square root of 5^6, you're correct that you can divide the exponent into equal parts. Since 6 is an even number, you can divide it into 3. Therefore, you can rewrite 5^6 as (5^3) * (5^3).
Now, let's simplify further. Using the property of exponents, when you multiply two numbers with the same base, you add their exponents. So, (5^3) * (5^3) can be written as 5^(3+3) which equals 5^6.
Therefore, the simplified version of the square root of 5^6 is just 5^3 or 125.