Question

Choose the correct simplification of the expression (xyz2)4.

Answer 1

The simplified version of (xyz^2)^4 is
x^4y^4z^8

Hope this helps :)

Answer 2

The simplified form of given expression
`(xyz^2)^4` is
`x^4y^4z^8`

Explanation:

Given : Expression
`(xyz^2)^4`

We have to write the simplified form the given expression
`(xyz^2)^4`

Consider, The given expression
`(xyz^2)^4`

Apply exponent rule,
`\left(a\cdot \:b\right)^n=a^nb^n`

We have,

`=x^4y^4\left(z^2\right)^4`

`\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^(bc)`

`=z^(2\cdot \:4)=z^8`

Thus,
`=x^4y^4z^8`

Thus, The simplified form of given expression
`(xyz^2)^4` is
`x^4y^4z^8`