If we have the same base, we can do this: (1/3)^4*(1/3)*7 = (1/3)^(4+7) = (1/3)^11 3^7/3^15 = (3^7)*(3*(-15)) = 3^(7 + (-15)) = 3^(-8) = 1/(3^8) 4^5*4^2 = 4^(5+2) = 4^7
Suppose that x and y are both differentiable functions of t and are related by the given equation. use implicit differentiation with respect to t to determine startfraction dy over dt endfraction in terms of x, y, and startfraction dx over dt endfraction .