Question

fully simplify using only positive exponents.\\(dfrac{(2m^{3})(8m^{4})}{4m^{8}}\\)

Explanation:

Step1: Multiply the coefficients

$2 \times 8 = 16$

Step2: Add exponents of $m$ in numerator

$m^{3+4}=m^7$

Step3: Rewrite the entire fraction

$\frac{16m^7}{4m^8}$

Step4: Simplify the coefficient fraction

$\frac{16}{4}=4$

Step5: Subtract exponents of $m$

$m^{7-8}=m^{-1}=\frac{1}{m}$

Step6: Combine the results

$4 \times \frac{1}{m}$

Answer:

$\frac{4}{m}$