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Simplify. Express your answer using a single exponent.\newline(10q5)4(10q^5)^4

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(10q5)4(10q^5)^4
  1. Apply Power Separately: Apply the power to both the coefficient and the variable separately.\newlineWhen raising a power to a power, we multiply the exponents, and when raising a coefficient to a power, we simply calculate the power of the number.\newline(10q5)4=104×(q5)4(10q^5)^4 = 10^4 \times (q^5)^4
  2. Calculate 10410^4: Calculate 10410^4.\newline104=10×10×10×10=1000010^4 = 10 \times 10 \times 10 \times 10 = 10000
  3. Multiply Exponents for q: Multiply the exponents for q.\newline(q5)4=q5×4=q20(q^5)^4 = q^{5 \times 4} = q^{20}
  4. Combine Results: Combine the results from Step 22 and Step 33.\newline(10q5)4=10000×q20(10q^5)^4 = 10000 \times q^{20}

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