Exercise
$\left(2ab^m\right)^x=k$
Step-by-step Solution
Learn how to solve equations problems step by step online. Solve the equation (2ab^m)^x=k. The power of a product is equal to the product of it's factors raised to the same power. Divide both sides of the equation by 2^x. The power of a product is equal to the product of it's factors raised to the same power. Simplify \left(b^m\right)^x using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals m and n equals x.
Solve the equation (2ab^m)^x=k
Final answer to the exercise
$a=\left(\frac{k}{b^{mx}2^x}\right)^{\frac{1}{x}}$