(-2x^{2}y5)^{3}
To simplify the expression:
(-2x^2y^5)^3, we will apply the exponent rule which states that
(a^m)^n = a^(m*n).
Applying this rule, we have:
(-2x^2y^5)^3 = -2^3 * (x^2)^3 * (y^5)^3
Simplifying further, we have:
= -8 * x^(2*3) * y^(5*3)
= -8x^6y^15