What is the answer to (3^{-1})/(3^4)=3^a ?

The answer to (3^{-1})/(3^4)=3^a is a=-5

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(3^{-1})/(3^4)=3^a

\frac{3 ^{- 1}}{3 ^{4}} = 3^{a}

a = - 5

Solution steps

\frac{3 ^{- 1}}{3 ^{4}} = 3^{a}

Apply exponent rules

- 5 = a

Switch sides

a = - 5

2^{k} + 2^{k} = 2^{k + 1}

8 = 4^{- x + 4}

4 9^{x - 1} = 77

4^{3 - x} = \frac{1}{16}

(3^{x})^{8} = \frac{1}{81}

What is the answer to (3^{-1})/(3^4)=3^a ?
The answer to (3^{-1})/(3^4)=3^a is a=-5
Solve for a: (3^{-1})/(3^4)=3^a
The solution is a=-5