What is the answer to 10=0.1k^{0.2}*(4k)^{0.8} ?

The answer to 10=0.1k^{0.2}*(4k)^{0.8} is k=\sqrt[5]{(100000)/(0.00256)}

Solve for k: 10=0.1k^{0.2}*(4k)^{0.8}

The solution is k=\sqrt[5]{(100000)/(0.00256)}

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10 = 0.1 k^{0.2} \cdot (4 k)^{0.8}

Decimal Notation

k = 32.98769 \dots

Solution steps

10 = 0.1 k^{0.2} (4 k)^{0.8}

Take both sides of the equation to the power of

5 : 100000 = 0.00256 k^{5}

100000 = 0.00256 k^{5}

Solve

Verify Solutions:

True

The solution is

2 x^{2} - 4 x = 2 x \cdot x - 2 x^{0.2}

8 x + 33 - 2 x + 24 = 3

26 = - 1 + (27 x)^{\frac{3}{4}}

4 x - 4 x + 1 = 0

What is the answer to 10=0.1k^{0.2}*(4k)^{0.8} ?
The answer to 10=0.1k^{0.2}*(4k)^{0.8} is k=\sqrt[5]{(100000)/(0.00256)}
Solve for k: 10=0.1k^{0.2}*(4k)^{0.8}
The solution is k=\sqrt[5]{(100000)/(0.00256)}