Find the Product $- 3 k ^ { 1 / 8 } \left( 8 k ^ { 3 / 8 } - 6 k ^ { 3 / 4 } \right)$

Find the product. Assume variables represent positive real numbers.
- $- 3 k ^ { 1 / 8 } \left( 8 k ^ { 3 / 8 } - 6 k ^ { 3 / 4 } \right)$

A) $- 24 \mathrm { k } ^ { 1 / 2 } + 18 \mathrm { k } ^ { 7 / 8 }$
B) $- 24 \mathrm { k } ^ { 1 / 2 } - 18 \mathrm { k } ^ { 7 / 8 }$
C) $- 24 \mathrm { k } ^ { 3 / 64 } + 18 \mathrm { k } ^ { 3 / 32 }$
D) $- 24 k ^ { - 1 / 4 } - 18 k ^ { - 5 / 8 }$

Correct Answer:

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