What is the answer to 16^{2p-3}*4^{-2p}=2^4 ?

The answer to 16^{2p-3}*4^{-2p}=2^4 is p=4

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16^{2p-3}*4^{-2p}=2^4

1 6^{2 p - 3} \cdot 4^{- 2 p} = 2^{4}

p = 4

Solution steps

1 6^{2 p - 3} \cdot 4^{- 2 p} = 2^{4}

Apply exponent rules

4 (2 p - 3) - 4 p = 4

Solve

4 (2 p - 3) - 4 p = 4 : p = 4

p = 4

3^{n} = 6561

9.2 7^{x} = 27

2^{2 x - 1} = 1 6^{x - 2}

5 c e^{c x} = 2 e^{c x}

4^{x + 1} + 4^{x + 2} = 1280

What is the answer to 16^{2p-3}*4^{-2p}=2^4 ?
The answer to 16^{2p-3}*4^{-2p}=2^4 is p=4
Solve for p: 16^{2p-3}*4^{-2p}=2^4
The solution is p=4