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Let’s check out your problem:

(4u^(2)v^(4))^(4)

(4u2v4)4 \left(4 u^{2} v^{4}\right)^{4}

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Full solution

Q. (4u2v4)4 \left(4 u^{2} v^{4}\right)^{4}
  1. Apply power rule: Step 11: Apply the power of a power rule, which states (am)n=am∗n(a^m)^n = a^{m*n}.(4u2v4)4=44∗(u2)4∗(v4)4(4u^{2}v^{4})^{4} = 4^{4} * (u^{2})^4 * (v^{4})^4
  2. Calculate each part: Step 22: Calculate each part separately.\newline44=2564^{4} = 256\newline(u2)4=u8(u^{2})^{4} = u^{8}\newline(v4)4=v16(v^{4})^{4} = v^{16}
  3. Combine all parts: Step 33: Combine all the parts together. 256×u8×v16256 \times u^{8} \times v^{16}

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