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

9514 1404 393

Answer:

  7x^3y^4z^2

Step-by-step explanation:

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

Answer 2

Answer:

$\small \sf \leadsto \: 7x {}^{3}y {}^{6}z {}^{2}$

Step-by-step explanation:

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

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

$\small \sf \leadsto \: 7x {}^{3}y {}^{6}z {}^{2}$