which expression is equivalent to (-4x^-3y^-5)^2 ?
which all apply?
O -8y^7/x^5
O 16x^-6y^-10
O 16y^10/x^10
O -8x^-5 y^7
O 16y^-10/x^6
To find the equivalent expression to (-4x^-3y^-5)^2, we multiple the exponents inside the parentheses by 2:
(-4x^-3y^-5)^2 = (-4)^2 x^(-3*2) y^(-5*2)
= 16 x^(-6) y^(-10)
= 16x^-6y^-10
So, the expression that is equivalent to (-4x^-3y^-5)^2 is 16x^-6y^-10.
Therefore, the correct answer is:
16x^-6y^-10