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 \(x^4y^4z^8\)
