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Simplify. Express your answer using a single exponent.\newline(8r4)2(8r^4)^2

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(8r4)2(8r^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(8r4)2=82×(r4)2(8r^4)^2 = 8^2 \times (r^4)^2
  2. Calculate 828^2: Calculate 828^2.\newline82=8×8=648^2 = 8 \times 8 = 64
  3. Calculate (r4)2(r^4)^2: Calculate (r4)2(r^4)^2.(r4)2=r(4×2)=r8(r^4)^2 = r^{(4 \times 2)} = r^8
  4. Combine results: Combine the results from Step 22 and Step 33.\newline(8r4)2=64×r8(8r^4)^2 = 64 \times r^8
  5. Write final expression: Write the final simplified expression.\newlineThe expression (8r4)2(8r^4)^2 simplifies to 64r864r^8.

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