brianshsj brianshsj
  • 16-01-2024
  • Mathematics
contestada

For what value of a does
-4
ร
-2
0 2
06
1
9
8+1
-81+1.272-82

For what value of a does 4 ร 2 0 2 06 1 9 81 81127282 class=

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 16-01-2024

Answer:

-4

Step-by-step explanation:

(1/9)^(a + 1) = 81^(a + 1) × 27^(2 - a)

[3^(-2)]^(a + 1) = (3^4)^(a + 1) × (3^3)^(2 - a)

3^(-2a - 2) = 3^(4a + 4) × 3^(6 - 3a)

3^(-2a - 2) = 3^(4a + 4 + 6 - 3a)

-2a - 2 = a + 10

-3a = 12

a = -4

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