Question

Simplify each expression. Use positive exponents. (x–2y–4x3) –2,

Answer 1

The Expression is
(x^-2y^-4x³)^-2
 We can combine the x terms inside the brackets using the concept;
x ^a × x^b = x^(a+b)
Therefore, 
 (x^-2)(x^3) = x^(3-2) = x^!

Thus we get;
(xy^-4)^-2
Using the concept
(x^a)^b = x^(ab)
Therefore
 = x ^(-2×1) y^(-2×-4)
 =x^-2y^8
But using the concept; x^-a = 1/x^a
Thus, x^-2y^8 = y^8/x²
Hence the simplified equation is;
       = y^8/x²