I am kinda stuck on this one
Simplify: ^5sqrt x^7 y^4
I don't know what to do for this problem. I am lost with what to do with the exponents when you have a number on the outside.
I think you mean to the 1/5 power
Yes, it is
(x^7 y^4)1/5
To simplify the expression ^5√(x^7 * y^4), we need to apply the properties of exponents and the rules of radicals.
Step 1: Rewrite the expression using fractional exponents.
^5√(x^7 * y^4) = (x^7 * y^4)^(1/5)
Step 2: Apply the property of exponents (a^m * a^n = a^(m + n)).
(x^7 * y^4)^(1/5) = x^(7/5 + 4/5)
Step 3: Simplify the exponents.
x^(7/5 + 4/5) = x^(11/5)
So, the simplified expression is x^(11/5).