Exercise
$\frac{\left(2x^2\right)^{10-x}}{\left(2x^3\right)^y}$
Step-by-step Solution
Learn how to solve simplification of algebraic fractions problems step by step online. Simplify the expression ((2x^2)^(10-x))/((2x^3)^y). Apply the property of the product of two powers of the same base in reverse: a^{m+n}=a^m\cdot a^n. The power of a product is equal to the product of it's factors raised to the same power. Calculate the power 2^{10}. Simplify \left(x^2\right)^{10} 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 10.
Simplify the expression ((2x^2)^(10-x))/((2x^3)^y)
Final answer to the exercise
$\frac{\left(2x^2\right)^{-x}1024x^{20}}{\left(2x^3\right)^y}$