Question

What is the value of b in the equation (y^-9)^b =y45

Answer 1

b = -5

Explanation:

`\begin{array}{rcll}(y^(-9))^(b) & = & y^(45)& \\y^(-9b) & = & y^(45) & \text{Multiplied exponents}\\-9b \ln y & =& 45 \ln y & \text{Took the ln of each side}\\-9b & = & 45 & \text{Divided each side by ln y}\\b & = & \mathbf{-5} & \text{Divided each side by -9}\\\end{array}`