Example Question - division of algebraic expressions

Simplifying Algebraic Expression by Division

To solve the given expression, you need to simplify it by dividing both the numerical coefficients and the variables with exponents. Given expression: \( \frac{10x^8}{5x^4} \) First, divide the coefficients (numbers in front of the variables): \( \frac{10}{5} = 2 \) Next, use the quotient rule of exponents for \( x^8 \div x^4 \) which states that when you divide two expressions that have the same base, you subtract the exponents: \( x^{8-4} = x^4 \) So the simplified expression is: \( 2x^4 \)