Suppose output Q is given by the Cobb-Douglas production function Q(K, L) = AK L 1

Suppose output Q is given by the Cobb-Douglas production function Q(K, L) = AK^αL^1−α, where A and α are positive constants and 0 <  α < 1. Show that if K and L are both multiplied by the same positive number m, then the output Q will also be multiplied by m; that is, show that Q(mK, mL) = mQ(K, L). A production function with this property is said to have constant returns to scale.