Exercise
$\left(\frac{2}{x^2y^3}\right)^5.\left(-\frac{xy}{2}\right)^5$
Step-by-step Solution
Learn how to solve equivalent expressions problems step by step online. Simplify the expression (2/(x^2y^3))^5. 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}. Calculate the power 2^5. The power of a product is equal to the product of it's factors raised to the same power. Simplify \left(x^2\right)^5 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 5.
Simplify the expression (2/(x^2y^3))^5
Final answer to the exercise
$\frac{32}{x^{10}y^{15}}$