Lileth24 Lileth24
  • 22-10-2021
  • Mathematics
contestada

For what value of a does
( 1/9) ^a+1 •27^2-a ?

O-4
O-2
O 2
O 6

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HayabusaBrainly
HayabusaBrainly HayabusaBrainly
  • 22-10-2021

>>Exponent

__________

[tex] \: [/tex]

[tex]( \frac{1}{9} ) {}^{a + 1} = {27}^{2 - a} [/tex]

[tex]( {3}^{ - 2} ) {}^{a + 1} = ( {3}^{3} ) {}^{2 - a} [/tex]

[tex] \cancel{ {3}}^{ - 2a - 2} = \cancel{{3}}^{6 - 3a} [/tex]

-2a - 2 = 6 - 3a

-2a + 3a = 6 + 2

a = 8✔

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