What is the answer to 4^{2p}=4^{-2p-1} ?

The answer to 4^{2p}=4^{-2p-1} is p=-1/4

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4^{2p}=4^{-2p-1}

4^{2 p} = 4^{- 2 p - 1}

p = - \frac{1}{4}

Solution steps

4^{2 p} = 4^{- 2 p - 1}

Apply exponent rules

2 p = - 2 p - 1

Solve

2 p = - 2 p - 1 : p = - \frac{1}{4}

p = - \frac{1}{4}

2^{3 x + 1} = 4

x, e^{2 x} - e^{x} = 0

3^{5 + 4 x} = 9^{x}

y, x = 6^{3 + 2 y}

e^{2 x + 1} = e^{3 x - 1}

What is the answer to 4^{2p}=4^{-2p-1} ?
The answer to 4^{2p}=4^{-2p-1} is p=-1/4
Solve for p: 4^{2p}=4^{-2p-1}
The solution is p=-1/4