Question

Your Turn Simplify each expression. Assume all variable 8. ((1)/(4x^(4))*x^(12))^(-(1)/(2))

Answer 1

Answer and Step-by-step explanation:

Let’s simplify the expression step by step:

First, let’s simplify the expression inside the parentheses: (1)/(4x^(4))*x^(12) = (x^(12))/(4x^(4)) = x^(12-4)/4 = x^8/4.

Now, let’s raise this expression to the power of -(1)/(2): (x^8/4)^(-(1)/(2)) = 1/(x^8/4)^(1/2).

Finally, let’s simplify the expression inside the square root: 1/(x^8/4)^(1/2) = 1/(x^4/2) = 2/x^4.

So, the simplified expression is 2/x^4.