Question

Algebra 1 unit 7 Exam question- Will mark brainliest if answered quickly and correctly

Answer 1

Answer:

$=50m^{\frac{5}{3}}n^{\frac{3}{8}}$

Step-by-step explanation:

$\left(5m^{\frac{4}{3}}\cdot \:5n^{\frac{1}{4}}\right)\left(m^{\frac{1}{3}}\cdot \:2n^{\frac{1}{8}}\right)$

$=m^{\frac{4}{3}}\cdot \:5^{1+1}n^{\frac{1}{4}}m^{\frac{1}{3}}\cdot \:2n^{\frac{1}{8}}$

$=m^{\frac{4}{3}}\cdot \:5^2n^{\frac{1}{4}}m^{\frac{1}{3}}\cdot \:2n^{\frac{1}{8}}$

$=5^2n^{\frac{1}{4}}m^{\frac{4}{3}+\frac{1}{3}}\cdot \:2n^{\frac{1}{8}}$

$=5^2m^{\frac{4}{3}+\frac{1}{3}}\cdot \:2n^{\frac{1}{4}+\frac{1}{8}}$

$=5^2\cdot \:2m^{\frac{5}{3}}n^{\frac{1}{4}+\frac{1}{8}}$

$=5^2\cdot \:2m^{\frac{5}{3}}n^{\frac{3}{8}}$

$=50m^{\frac{5}{3}}n^{\frac{3}{8}}$