(√x^4)(√x) "√" is a radical sign.
does it equal √√x^5
To simplify the expression (√x^4)(√x), we can apply the properties of radicals and exponents.
First, let's simplify each radical separately. For the first radical, (√x^4), we can rewrite it as x^(4/2) using the property √a = a^(1/2). This equals x^2.
For the second radical, (√x), it remains unchanged.
Now, we can rewrite the expression as x^2 * (√x).
To simplify further, we can combine the like terms by multiplying the coefficients and adding the exponents. In this case, the coefficient of x^2 is 1 and the exponent of x is 1/2, so we have:
1 * x^2 * x^(1/2) = x^(2 + 1/2) = x^(5/2).
Therefore, the expression (√x^4)(√x) simplifies to x^(5/2).
Note that x^(5/2) is not equal to √√x^5. In general, the expression √a^b does not simplify to √(a^b), but rather it simplifies to a^(b/2).