ksmith3497423
ksmith3497423 ksmith3497423
  • 25-06-2017
  • Mathematics
contestada

There are (32)^4 ⋅ 30 bacteria in a petri dish. What is the total number of bacteria in the dish? A. 3^8 B. 3^9 C. 3^11 D. 3^24

Respuesta :

gatster2433
gatster2433 gatster2433
  • 25-06-2017
A. 3^8 which equal 6561
Answer Link
erinna erinna
  • 20-06-2019

Answer:

The correct option is A.

Step-by-step explanation:

The given expression is

[tex](3^2)^4\cdot 3^0[/tex]

According to the property of exponent.

[tex](x^m)^n=x^{mn}[/tex]

Using this property we get

[tex]3^(2\times 4)\cdot 3^0[/tex]

[tex]3^8\cdot 3^0[/tex]

According to the property of exponent.

[tex]x^mx^n=x^{m+n}[/tex]

Using this property we get

[tex]3^{8+0}[/tex]

[tex]3^{8}[/tex]

The total number of bacteria in the dish is 3⁸.

Therefore the correct option is A.

Answer Link

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