What is the answer to (5^p)/(sqrt(5))=5^{-p} ?

The answer to (5^p)/(sqrt(5))=5^{-p} is p= 1/4

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(5^p)/(sqrt(5))=5^{-p}

\frac{5 ^{p}}{5} = 5^{- p}

p = \frac{1}{4}

Decimal Notation

p = 0.25

Solution steps

\frac{5 ^{p}}{5} = 5^{- p}

Apply exponent rules

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

Solve

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

p = \frac{1}{4}

2 e^{x} + 1 = 7

5^{x + 2} = 2 5^{x - 4}

3^{x} - \frac{1}{3 ^{x}} = 10

e^{(2 x)} - 3 e^{(x)} - 10 = 0

2^{0.05 t} = 2

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