Question

Which expression is equivalent to 3 cube root (343x^9 y^12 z^6) ? 7x3y4z2 7x3y6z2 49x3y6z2 49x3y4z2

Answer 1

Cube root of 343 = 7

of x^9  it is x^3   ( because x^9 = x^3 * x^3 * x^3)

of y^12 it is y^4

of z^6 it is z^2

So the correct choice is A

Answer 2

Answer:

A. $7x^3*y^4*z^2$

Step-by-step explanation:

We have been given an expression $\sqrt[3]{343x^9y^{12}z^6}$. We are asked to find the equivalent expression to our given expression.

Using exponent property $(a^b)^c=a^{b\cdot c}$ we can rewrite the terms of our given expression as:

$\sqrt[3]{7^3*(x^3)^3*(y^4)^{3}*(z^2)^3}$

Using property $\sqrt[n]{a^n}=a$ we will get,

$7x^3*y^4*z^2$

Therefore, the simplified form of our given expression would be $7x^3*y^4*z^2$ and option A is the correct choice.