Simplify (10r^3)(4r^6)8r^4.

We have (10r^3)(4r^6)8r^4= 40r^3+68r^4 = 408r^3+6-4 = 5r^5.

jmc

algebra junior

Problem

Simplify

\frac{( 10 r ^{3} ) ( 4 r ^{6} )}{8 r ^{4}}

Solution

We have

\frac{( 10 r ^{3} ) ( 4 r ^{6} )}{8 r ^{4}} = \frac{40 r ^{3 + 6}}{8 r ^{4}} = \frac{40}{8} r^{3 + 6 - 4} = 5 r^{5} .

Final answer

5r^5