Use the product rule to multiply. Assume all variables represent positive real numbers.
-$\sqrt [ 3 ] { 343 } \cdot \sqrt [ 3 ] { 729 }$
A) $- 2$
B) 63
C) 16
D) $- 63$

Question

Quizplus · Accepted Answer

The product rule for radicals states that $\sqrt[n]{a} \cdot \sqrt[n]{b} = \sqrt[n]{ab}$. Here, $343 = 7^3$ and $729 = 9^3$, so $\sqrt[3]{343} \cdot \sqrt[3]{729} = \sqrt[3]{7^3 \cdot 9^3} = \sqrt[3]{(7 \cdot 9)^3} = 7 \cdot 9 = 63$.

Use the Product Rule to Multiply 3433⋅7293\sqrt [ 3 ] { 343 } \cdot \sqrt [ 3 ] { 729 }3343​⋅3729​

Use the Product Rule to Multiply $\sqrt [ 3 ] { 343 } \cdot \sqrt [ 3 ] { 729 }$