Solve (39025/6561)^(1/2)

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Type your math problem... (39025/6561)^(1/2)

Question

Calculate the value

\frac{5 1561}{81}

Alternative Form

\approx 2.438858

Evaluate

(\frac{39025}{6561})^{\frac{1}{2}}

To raise a fraction to a power,raise the numerator and denominator to that power

\frac{3902 5 ^{\frac{1}{2}}}{656 1 ^{\frac{1}{2}}}

Evaluate the power

More Steps

Evaluate

656 1^{\frac{1}{2}}

Factor the number

(8 1^{2})^{\frac{1}{2}}

Evaluate the power

81

\frac{3902 5 ^{\frac{1}{2}}}{81}

Solution

More Steps

Evaluate

3902 5^{\frac{1}{2}}

Use a^{\frac{m}{n}} = n a^{m} to transform the expression

39025

Write the expression as a product where the root of one of the factors can be evaluated

25 \times 1561

Write the number in exponential form with the base of 5

5^{2} \times 1561

The root of a product is equal to the product of the roots of each factor

5^{2} \times 1561

Reduce the index of the radical and exponent with 2

51561

\frac{5 1561}{81}

Alternative Form

\approx 2.438858

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