Exercise
$5x\left(e^{5x}\right)^2+\left(e^{5x}\right)^2-\left(5e^{10x}\right)$
Step-by-step Solution
Learn how to solve equivalent expressions problems step by step online. Simplify the expression 5xe^(5x)^2+e^(5x)^2-5e^(10x). Simplify \left(e^{5x}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 5x and n equals 2. Multiply 5 times 2. Simplify \left(e^{5x}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 5x and n equals 2. Simplify \left(e^{5x}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 5x and n equals 2.
Simplify the expression 5xe^(5x)^2+e^(5x)^2-5e^(10x)
Final answer to the exercise
$5xe^{10x}-4e^{10x}$