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olga_2 [115]
3 years ago
12

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

Mathematics
2 answers:
Sergio039 [100]3 years ago
8 0
The simplified version of (xyz^2)^4 is 
x^4y^4z^8

Hope this helps :)

kogti [31]3 years ago
5 0

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

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