INC0GNITO
INC0GNITO INC0GNITO
  • 04-04-2020
  • Mathematics
contestada

Which of the following is equivalent to

a.6
b.8
c.12
d.64​

Which of the following is equivalent to a6 b8c12d64 class=

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 04-04-2020

Answer:

b 8

Step-by-step explanation:

We know that a^b^c = a^(b*c)

16 ^ 3/2 ^ 1/2

16 ^(3/2*1/2)

16^3/4

Replace 16 by 2^4

2^4 ^3/4

2^(4*3/4)

2 ^3

8

Answer Link
meaganblatcher
meaganblatcher meaganblatcher
  • 04-04-2020

Answer:

B. 8

Step-by-step explanation:

First, apply the exponent rule and multiply 3/2 by 1/2 to get 3/4.

Then, factor the number 16 to get 2^4.

Next, use the exponent rule again and multiply 4 by 3/4 and get 12/4.

Then, simplify that to get 3.

Now, you have 2^3.

Simplify that and you have 8.

Answer Link

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