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The table shows the number in each petri dishes ,Dish C has 8^2 times as many bacteria as dish A Dish B has 8^9 and A has 8^6 which one holds the most



Answer :

sqdancefan

Answer:

  Dish B

Step-by-step explanation:

You want to know which number is larger:

  • A: 8^6
  • B: 8^9
  • C: 8^2 × 8^6

Rules of exponents

The relevant rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

Application

The number in dish C is ...

  8^2 × 8^6 = 8^(2+6) = 8^8

Comparison

These numbers all have the same positive base greater than 1, raised to positive powers. The largest number is the one with the largest exponent:

  B: 8^9

Dish B holds the most.

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