Question

simplify the expression \\(\frac{8m^4}{2m^3}\\)

Explanation:

Step1: Simplify the coefficient

Simplify the fraction of the coefficients $\frac{8}{2}$ which equals 4.
$$\frac{8}{2} = 4$$

Step2: Simplify the variable using exponent rule

For the variable $m$, use the rule of exponents $a^m\div a^n = a^{m - n}$. So $m^4\div m^3 = m^{4 - 3}=m^1 = m$.
$$m^{4-3}=m$$

Step3: Combine the results

Multiply the simplified coefficient and the simplified variable.
$$4\times m = 4m$$

Answer:

$4m$