Question

For what value of a does ( 1/9) ^a+1 •27^2-a ? O-4 O-2 O 2 O 6

Answer 1

>>Exponent

__________

$\:$

$( \frac{1}{9} ) {}^{a + 1} = {27}^{2 - a}$

$( {3}^{ - 2} ) {}^{a + 1} = ( {3}^{3} ) {}^{2 - a}$

$\cancel{ {3}}^{ - 2a - 2} = \cancel{{3}}^{6 - 3a}$

-2a - 2 = 6 - 3a

-2a + 3a = 6 + 2

a = 8✔