Use the product rule to multiply. Assume all variables represent positive real numbers.
-$\sqrt [ 3 ] { 8 m ^ { 3 } } \cdot \sqrt [ 3 ] { 27 m ^ { 3 } }$
A) $5 \mathrm {~m}$
B) 6
C) $6 \mathrm {~m} ^ { 2 }$
D) $- 2 m$

Question

Quizplus · Accepted Answer

The cube roots can be multiplied together: $\sqrt[3]{8m^3} \cdot \sqrt[3]{27m^3} = \sqrt[3]{(8 \cdot 27)(m^3 \cdot m^3)} = \sqrt[3]{216m^6}$. Simplifying gives $6m^2$.

Use the Product Rule to Multiply 8m33⋅27m33\sqrt [ 3 ] { 8 m ^ { 3 } } \cdot \sqrt [ 3 ] { 27 m ^ { 3 } }38m3​⋅327m3​

Use the Product Rule to Multiply $\sqrt [ 3 ] { 8 m ^ { 3 } } \cdot \sqrt [ 3 ] { 27 m ^ { 3 } }$