Question

Which expression is equivalent to Cube root of 343 x Superscript 9 Baseline y Superscript 12 Baseline z Superscript 6?

7x3y4z2
7x3y6z2
49x3y6z2
49x3y4z2

Answer 1

`\small \sf \leadsto \: 7x {}^(3)y {}^(6)z {}^(2)`

Explanation:

`\small \sf \leadsto \: \sqrt[3]{343 \: x {}^(9) \: y{}^(12) \: z {}^(6) }`

`\small \sf \leadsto \: \sqrt[3]{7x {}^(3)y {}^(6)z {}^(2) }`

`\small \sf \leadsto \: 7x {}^(3)y {}^(6)z {}^(2)`

Answer 2

9514 1404 393

Answer:

7x^3y^4z^2

Explanation:

`\displaystyle\sqrt[3]{343x^9y^12z^6}=\sqrt[3]{(7x^3y^4z^2)^3}=\boxed{7x^3y^4z^2}`