What is the answer to 3/(3^{-k)}=9sqrt(27) ?

The answer to 3/(3^{-k)}=9sqrt(27) is k= 5/2

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3/(3^{-k)}=9sqrt(27)

\frac{3}{3 ^{- k}} = 927

k = \frac{5}{2}

Decimal Notation

k = 2.5

Solution steps

\frac{3}{3 ^{- k}} = 927

Apply exponent rules

1 + k = \frac{7}{2}

Solve

1 + k = \frac{7}{2} : k = \frac{5}{2}

k = \frac{5}{2}

Verify Solutions:

k = \frac{5}{2}

True

The solution is

k = \frac{5}{2}

2 \cdot 3^{x} + 6 = 20

x, f^{- 1} (x) = 3 + e^{2 - x}

3 x (1 0^{x}) + 1 0^{x} = 0

3^{2 z} = 81

2^{3 y - 2} = 16

What is the answer to 3/(3^{-k)}=9sqrt(27) ?
The answer to 3/(3^{-k)}=9sqrt(27) is k= 5/2
Solve for k: 3/(3^{-k)}=9sqrt(27)
The solution is k= 5/2