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Select all the expressions that are equivalent to 103×6310^3 \times 6^3.\newlineMulti-select Choices:\newline(A) 60360^3\newline(B) 606603\frac{60^6}{60^3}\newline(C) 60960^9\newline(D) 60660^6

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Q. Select all the expressions that are equivalent to 103×6310^3 \times 6^3.\newlineMulti-select Choices:\newline(A) 60360^3\newline(B) 606603\frac{60^6}{60^3}\newline(C) 60960^9\newline(D) 60660^6
  1. Calculate: Calculate 103×6310^3 \times 6^3.\newline- Calculation: 103=100010^3 = 1000 and 63=2166^3 = 216, so 103×63=1000×216=21600010^3 \times 6^3 = 1000 \times 216 = 216000.\newline-
  2. Check Option (A): Check if option (A) 60360^3 is equivalent.\newline- Calculation: 603=21600060^3 = 216000.\newline-
  3. Check Option (B): Check if option (B) 606/60360^6/60^3 is equivalent.\newline- Calculation: 606=4665600000060^6 = 46656000000 and 603=21600060^3 = 216000, so 606/603=21600060^6/60^3 = 216000.\newline-
  4. Check Option (C): Check if option (C) 60960^9 is equivalent.\newline- Calculation: 609=10155995666841660^9 = 101559956668416, which is not equal to 216000216000.\newline-

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