Question - Simplifying Algebraic Expression by Division
mathsimplify algebraic expressionsdivision of algebraic expressionscoefficients division in algebraexponents quotient rule
Solution:
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:$$ 2x^4 $$
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