1) To simplify the expression -0.6m^6b^6 × 0.9mb^9, we can multiply the coefficients and combine the variables.
-0.6 × 0.9 = -0.54
For the variables, we can add the exponents when the bases are the same.
m^6 × m = m^(6+1) = m^7
b^6 × b^9 = b^(6+9) = b^15
Therefore, the simplified form of the expression is -0.54m^7b^15.
2) To simplify the expression (-0.1y^3m^10)^2, we need to square both the coefficient and the variables inside the parentheses.
(-0.1)^2 = 0.01
For the variables, we multiply the exponents.
y^3 × 2 = y^(3×2) = y^6
m^10 × 2 = m^(10×2) = m^20
Thus, the simplified form of the expression is 0.01y^6m^20.
3) To simplify the expression 0.064n^36x^24, we don't have any operations to perform since all the variables are different. Therefore, the expression remains as it is: 0.064n^36x^24.