SOLUTION: Please help me simplify for this equation: {{{ 5 square root of 32x^5z^10 }}}. the 5 is small outside on the left of square root of 32x^5z^10

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me simplify for this equation: {{{ 5 square root of 32x^5z^10 }}}. the 5 is small outside on the left of square root of 32x^5z^10      Log On


   



Question 68828: Please help me simplify for this equation: +5+square+root+of+32x%5E5z%5E10+.
the 5 is small outside on the left of square root of 32x^5z^10

Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!
+5+square+root+of+32x%5E5z%5E10+
Since we have 5th root, we need to find the following:
32 = 2*2*2*2*2
= 2^5
x^5 = x*x*x*x*x
= x^5
z^10 = z*z*z*z*z*z*z*z*z*z
= z^5 * z^5
= (z^5)^2
therefore the 5throot of 32x^5z^10 = 2xz^2