omargm110
omargm110 omargm110
  • 13-06-2019
  • Mathematics
contestada

Which expression is equivalent to 16^3?

A. 2^7
B. 2^11
C. 2^12
D. 2^64

Respuesta :

carlosego
carlosego carlosego
  • 13-06-2019

For this case we must find an expression equivalent to:

[tex]16 ^ 3[/tex]

We can rewrite 16 as [tex]2 * 2 * 2 * 2 = 2 ^ 4[/tex]

Rewriting the expression we have:

[tex](2 ^ 4) ^ 3 =[/tex]

By definition of power properties we have to:

[tex](a ^ n) ^ m = a ^ {n * m}[/tex]

So, we have:

[tex](2 ^ 4) ^ 3 = 2 ^ {12}[/tex]

Answer:

Option C

Answer Link
isabellescherberger isabellescherberger
  • 16-03-2021

Answer:

C

Step-by-step explanation:

edg2021

Answer Link
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