simplify square root of 3^7
t 3^7= (3^7)^1/2= 3^(7/2)
= 3^(3 1/2)=27*3^1/2=27 sqrt3
To simplify the square root of (3^7), we can use the property of exponents which states that (a^m)^n = a^(m*n).
First, we rewrite 3^7 as (3^7)^1/2.
Next, we apply the property of exponents by multiplying the exponents inside and outside the parentheses. (1/2)*(7) = 7/2.
So, we have 3^(7/2).
To further simplify this expression, we can rewrite 7/2 as 3 1/2 (or 3 and 1/2).
Therefore, 3^(7/2) can be written as 3^(3 1/2).
Lastly, we use the rule that x^(a+b) = (x^a) * (x^b). In this case, x=3, a=3, and b=1/2.
Therefore, 3^(3 1/2) = (3^3) * (3^(1/2)) = 27 * sqrt(3).
So, the simplified form of the square root of (3^7) is 27 * sqrt(3).