Simplify the expressions and write your answer using positiv

Simplify the expressions and write your answer using positive exponents only (3x^-2)^3 (2x^-2)^5 x^-1 -y^-1/x^-1 + y^-1

Solution

1.We can solve the first expression by opening the bracket and then multiplying

(3x^-2)³(2x^-2)⁵ = (27x^-6)(32x^-10) = (864x^-16)

Now negative power change multiplication to division i.e.

Our answer is 864/x¹⁶

(2) {x^-1 - y^-1}/{x^-1 + y^-1} = (y - x)/xy ÷ (y + x)/xy = (y-x)/(y+x)