# Math Help - indices problem

1. ## indices problem

Solve the equation $27(9^{x+1}) = \frac{1}{81}$

2. Step 1. Divide both sides by 27.

Step 2. Express both sides as powers of 3. Note that $(3^2)^a=3^{2a}$ and $3^{-a}=1/(3^a)$.

Step 3. Equate the powers of 3 from the two sides.