Question

-(xy)to the power of 2 times 8x to the power of -7 y to the power of -2

Answer 1

Start with: -(xy)^2 · 8x^{-7}y^{-2}

Step 1: Expand (xy)^2 = x^2 y^2, so the expression is -x^2 y^2 · 8x^{-7}y^{-2}.

Step 2: Combine coefficients and add exponents:
-8 · x^{2 + (-7)} · y^{2 + (-2)} = -8 x^{-5} y^0 = -8 x^{-5}.

Since y^0 = 1, the simplified form is:
-8 x^{-5} = -8 / x^5 (for x ≠ 0).