What is the answer to \sqrt[3]{25^8}=5^p ?

The answer to \sqrt[3]{25^8}=5^p is p= 16/3

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\sqrt[3]{25^8}=5^p

p = \frac{16}{3}

Solution steps

Apply exponent rules

\frac{16}{3} = p

Switch sides

p = \frac{16}{3}

8 = e^{x}

8 1^{(x + 1)} = 9^{(3 x - 4)}

2^{2 x} + 3 (2^{x}) - 4 = 0

6^{1 - x} = 9

3^{4 x - 7} = 5^{6 x + 11}

What is the answer to \sqrt[3]{25^8}=5^p ?
The answer to \sqrt[3]{25^8}=5^p is p= 16/3
Solve for p: \sqrt[3]{25^8}=5^p
The solution is p= 16/3