Exercise
$\left(\frac{u^2}{w^2}\right)\left(\frac{u^{-1}v^2}{2w^{-3}}\right)^2$
Step-by-step Solution
Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the expression (u^2)/(w^2)((u^(-1)v^2)/(2w^(-3)))^2. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Any expression to the power of 1 is equal to that same expression. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. The power of a product is equal to the product of it's factors raised to the same power.
Simplify the expression (u^2)/(w^2)((u^(-1)v^2)/(2w^(-3)))^2
Final answer to the exercise
$\frac{v^{4}w^{4}}{4}$