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Simplify. Express your answer using a single exponent.\newline(8x5)2(8x^5)^2

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(8x5)2(8x^5)^2
  1. Apply power to coefficient and variable: Apply the power to both the coefficient and the variable. When raising a power to a power, we multiply the exponents, and when raising a number to a power, we simply calculate the number to that power. (8x5)2=82×(x5)2(8x^5)^2 = 8^2 \times (x^5)^2
  2. Calculate 828^2: Calculate 828^2.\newline82=8×8=648^2 = 8 \times 8 = 64
  3. Calculate (x5)2(x^5)^2: Calculate (x5)2(x^5)^2.(x5)2=x(5×2)=x10(x^5)^2 = x^{(5 \times 2)} = x^{10}
  4. Combine results: Combine the results from Step 22 and Step 33. 64×x1064 \times x^{10}

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