What is the answer to 8(1/16)^{-3x-2}=32 ?

The answer to 8(1/16)^{-3x-2}=32 is x=-1/2

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8(1/16)^{-3x-2}=32

8 (\frac{1}{16})^{- 3 x - 2} = 32

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

8 (\frac{1}{16})^{- 3 x - 2} = 32

Divide both sides by

8

(\frac{1}{16})^{- 3 x - 2} = 4

Apply exponent rules

- 2 (- 3 x - 2) = 1

Solve

- 2 (- 3 x - 2) = 1 : x = - \frac{1}{2}

x = - \frac{1}{2}

64 = 3 2^{- x + 5}

64 = 3 2^{- x + 4}

1 2^{\frac{2}{3} x} = 23

3 3^{x + 4} = 9^{x + 1}

8^{x + 5} = 1 6^{x}

What is the answer to 8(1/16)^{-3x-2}=32 ?
The answer to 8(1/16)^{-3x-2}=32 is x=-1/2
Solve for x: 8(1/16)^{-3x-2}=32
The solution is x=-1/2