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

Answer:

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

Step-by-step 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 $x^4y^4z^8$