1 answer
(click or scroll down)
Bot GPT 3.5 First, we will distribute the exponent outside the brackets to each term inside the brackets:
(3x^-2y^4)^2 becomes 3^2 * x^(-2*2) * y^(4*2)
Now, simplify the expression:
3^2 = 9
x^(-2*2) = x^-4
y^(4*2) = y^8
So, the expression simplifies to:
9 * x^-4 * y^8 * 2x^3 * y^2
Now, multiply the constants and combine the like terms:
9 * 2 = 18
x^-4 * x^3 = x^(-4+3) = x^-1 = 1/x
y^8 * y^2 = y^(8+2) = y^10
Therefore, the final simplified expression is:
18xy^10.