Answer :
Answer:
A. [tex]7x^3*y^4*z^2[/tex]
Step-by-step explanation:
We have been given an expression [tex]\sqrt[3]{343x^9y^{12}z^6}[/tex]. We are asked to find the equivalent expression to our given expression.
Using exponent property [tex](a^b)^c=a^{b\cdot c}[/tex] we can rewrite the terms of our given expression as:
[tex]\sqrt[3]{7^3*(x^3)^3*(y^4)^{3}*(z^2)^3}[/tex]
Using property [tex]\sqrt[n]{a^n}=a[/tex] we will get,
[tex]7x^3*y^4*z^2[/tex]
Therefore, the simplified form of our given expression would be [tex]7x^3*y^4*z^2[/tex] and option A is the correct choice.
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
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
