Question

Which expression is equivalent to ^3/sqare root (125x^6y^15z^3)?

A)5x3y3z
B)5x2y5z
C)25x2y3z
C)25x2y5z

Answer 1

Explanation:

answer is B!

Answer 2

Answer: Option 'B' is correct.

Explanation:

Since we have given that

`\sqrt[3]{125x^6y^15z^3}`

We need to find the cube root of the above expression:

For this we will use the exponential rule :

`(a^m)^(1)/(n)=a^(m)/(n)`

`\sqrt[3]{125x^6y^15z^3}\\\\=\sqrt[3]{125}\sqrt[3]{x^6}\sqrt[3]{y^(15)}\sqrt[3]{z^3}\\\\=125^{(1)/(3)}x^{(6)/(3)}y^{(15)/(3)}z^{(3)/(3)}\\\\=5x^2y^5z`

Hence, Option 'B' is correct.