What is the answer to 61^{1/3}=\sqrt[k]{61} ?

The answer to 61^{1/3}=\sqrt[k]{61} is k=3

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61^{1/3}=\sqrt[k]{61}

k = 3

Solution steps

Apply exponent rules

\frac{1}{3} = \frac{1}{k}

Solve

\frac{1}{3} = \frac{1}{k} : k = 3

k = 3

5^{x - 1} = 2 + \frac{3}{5 ^{x - 2}}

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

1024 = 2^{x}

1 0^{x} = 100

y, x^{y} = 2

What is the answer to 61^{1/3}=\sqrt[k]{61} ?
The answer to 61^{1/3}=\sqrt[k]{61} is k=3
Solve for k: 61^{1/3}=\sqrt[k]{61}
The solution is k=3