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Which expression is equivalent to 43×534^3 \times 5^3?\newlineChoices:\newline(A) 20320^3\newline(B) 1203\frac{1}{20^3}\newline(C) 20920^9\newline(D) 20620^6

Full solution

Q. Which expression is equivalent to 43×534^3 \times 5^3?\newlineChoices:\newline(A) 20320^3\newline(B) 1203\frac{1}{20^3}\newline(C) 20920^9\newline(D) 20620^6
  1. Calculate 434^3 and 535^3: Calculate 434^3 and 535^3 separately.\newline43=644^3 = 64\newline53=1255^3 = 125
  2. Multiply the results: Multiply the results of 434^3 and 535^3.\newline64×125=800064 \times 125 = 8000
  3. Express 80008000 as a power: Express 80008000 as a power of 2020.\newline8000=2038000 = 20^3