Question

Select the correct expression.

Select the expression that is equivalent to the expression below.

Answer 1

`8\sqrt[3]{-8x^3y^6z^(13)}`

Explanation:

`8\sqrt[3]{-8x^3y^6z^(13)}\\\\=8\sqrt[3]{(-1)^3\cdot2^3\cdot x^3 \cdot y^6 \cdot z^(12) \cdot z}\\\\=8\left[(-1)^3\cdot2^3\cdot x^3 \cdot y^6 \cdot z^(12) \cdot z \right]^(\tfrac 13)\\\\=-8\cdot 2 \cdot x \cdot y^2 \cdot z^4 \cdot z^(\tfrac 13)\\\\=-16xy^2 z^4 \sqrt[3]z`