Question

Which expression is equivalent to 3(sqrt)343x^9y^12z^6?

A. 7x^3y^4z^2
B. 7x^3y^6z^2
C. 49x^3y^6z^2
D. 49x^3y^4z^2

Please help...

Answer 1

A. would be the correct choice here

Answer 2

`7x^3y^4z^2`

Explanation:

find the equivalent expression

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

we take cube root for each term

`\sqrt[3]{343} =\sqrt[3]{7*7*7}=7`

`\sqrt[3]{x^9} =\sqrt[3]{x^3*x^3*x^3}=x^3`

`\sqrt[3]{y^(12)} =\sqrt[3]{y^3*y^3*y^3*y^3}=y^4`

`\sqrt[3]{z^6} =\sqrt[3]{z^3*z^3}=z^2`

Now we combine all the terms

`7x^3y^4z^2`