Solve 9/k^5-379/4/25

Question

Simplify the expression

\frac{900 - 379 k ^{5}}{100 k ^{5}}

Show Solution

k = 0

Show Solution

k = \frac{5 900 \times 37 9 ^{4}}{379}

Alternative Form

k \approx 1.188832

Evaluate

\frac{9}{k ^{5}} - \frac{379}{4} \div 25

To find the roots of the expression,set the expression equal to 0

\frac{9}{k ^{5}} - \frac{379}{4} \div 25 = 0

The only way a power can not be 0 is when the base not equals 0

\frac{9}{k ^{5}} - \frac{379}{4} \div 25 = 0, k \neq = 0

Calculate

\frac{9}{k ^{5}} - \frac{379}{4} \div 25 = 0

Divide the terms

More Steps

\frac{9}{k ^{5}} - \frac{379}{100} = 0

Subtract the terms

More Steps

\frac{900 - 379 k ^{5}}{100 k ^{5}} = 0

Cross multiply

900 - 379 k^{5} = 100 k^{5} \times 0

Simplify the equation

900 - 379 k^{5} = 0

Rewrite the expression

- 379 k^{5} = - 900

Change the signs on both sides of the equation

379 k^{5} = 900

Divide both sides

\frac{379 k ^{5}}{379} = \frac{900}{379}

Divide the numbers

k^{5} = \frac{900}{379}

Take the 5 -th root on both sides of the equation

5 k^{5} = 5 \frac{900}{379}

Calculate

k = 5 \frac{900}{379}

Simplify the root

More Steps

k = \frac{5 900 \times 37 9 ^{4}}{379}

Check if the solution is in the defined range

k = \frac{5 900 \times 37 9 ^{4}}{379}, k \neq = 0

Solution

k = \frac{5 900 \times 37 9 ^{4}}{379}

Alternative Form

k \approx 1.188832

Show Solution