Exercise
$225c^{16}-400^{18}$
Step-by-step Solution
Learn how to solve problems step by step online. Factor the expression 225c^16-*400^18. The power of a product is equal to the product of it's factors raised to the same power. Any expression multiplied by 1 is equal to itself. The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt{400^{18}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 18 and n equals \frac{1}{2}.
Factor the expression 225c^16-*400^18
Final answer to the exercise
$\left(15c^{8}+400^{9}\right)\left(15c^{8}- 400^{9}\right)$