jemalucero
jemalucero jemalucero
  • 25-04-2019
  • Mathematics
contestada

Which expression is equivalent to (4h⁷k²)⁴
Answer= 256gh²⁸k⁸

Respuesta :

carlosego
carlosego carlosego
  • 25-04-2019

For this case we have that by definition of power properties we have to:

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

In addition, we know that:

[tex]4 ^ 4 = 4 * 4 * 4 * 4 = 256[/tex]

We have the following expression:

[tex](4 * h ^ 7 * k ^ 2) ^ 4 =\\4 ^ {1 * 4} * h ^ {7 * 4} * k ^ {2} 4} =\\4 ^ 4 * h ^ {28} k ^ {8} =\\256 * h ^ {28} * k ^ {8}[/tex]

Answer:

[tex]256 * h ^ {28} * k ^ {8}[/tex]

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