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Simplify. Express your answer using a single exponent.\newline(10b8)3(10b^8)^3

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Q. Simplify. Express your answer using a single exponent.\newline(10b8)3(10b^8)^3
  1. Apply Power Rule: Apply the power to both the coefficient and the variable.\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(10b8)3=103×(b8)3(10b^8)^3 = 10^3 \times (b^8)^3
  2. Calculate 10310^3: Calculate 10310^3. \newline103=10×10×10=100010^3 = 10 \times 10 \times 10 = 1000
  3. Calculate (b8)3(b^8)^3: Calculate (b8)3(b^8)^3.\newlineWhen raising a power to another power, we multiply the exponents.\newline(b8)3=b(8×3)=b24(b^8)^3 = b^{(8 \times 3)} = b^{24}
  4. Combine Results: Combine the results from Step 22 and Step 33.\newline(10b8)3=103×(b8)3=1000×b24(10b^8)^3 = 10^3 \times (b^8)^3 = 1000 \times b^{24}
  5. Write Final Expression: Write the final simplified expression.\newlineThe final simplified expression is 1000b241000b^{24}.