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Simplify. Express your answer using a single exponent.\newline(8u4)2(8u^4)^2

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Powers of a power: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using a single exponent.\newline(8u4)2(8u^4)^2
  1. Apply power rule: Apply the power to a power rule.\newlineWhen raising a power to another power, we multiply the exponents. We also raise the numerical coefficient to the power of 22.\newline(8u4)2=82×(u4)2(8u^4)^2 = 8^2 \times (u^4)^2
  2. Calculate 828^2: Calculate 828^2.\newline82=8×8=648^2 = 8 \times 8 = 64
  3. Calculate (u4)2(u^4)^2: Calculate (u4)2(u^4)^2.(u4)2=u(4×2)=u8(u^4)^2 = u^{(4 \times 2)} = u^8
  4. Combine results: Combine the results from Step 22 and Step 33.\newline(8u4)2=64×u8(8u^4)^2 = 64 \times u^8

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