Solve l^517-15-200

Question

Simplify the expression

17 l^{5} - 215

Evaluate

l^{5} \times 17 - 15 - 200

Use the commutative property to reorder the terms

17 l^{5} - 15 - 200

Solution

17 l^{5} - 215

Show Solution

l = \frac{5 215 \times 1 7 ^{4}}{17}

Alternative Form

l \approx 1.661108

Evaluate

l^{5} \times 17 - 15 - 200

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

l^{5} \times 17 - 15 - 200 = 0

Use the commutative property to reorder the terms

17 l^{5} - 15 - 200 = 0

Subtract the numbers

17 l^{5} - 215 = 0

Move the constant to the right-hand side and change its sign

17 l^{5} = 0 + 215

Removing 0 doesn't change the value,so remove it from the expression

17 l^{5} = 215

Divide both sides

\frac{17 l ^{5}}{17} = \frac{215}{17}

Divide the numbers

l^{5} = \frac{215}{17}

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

5 l^{5} = 5 \frac{215}{17}

Calculate

l = 5 \frac{215}{17}

Solution

More Steps

Evaluate

5 \frac{215}{17}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{5 215}{5 17}

Multiply by the Conjugate

\frac{5 215 \times 5 1 7 ^{4}}{5 17 \times 5 1 7 ^{4}}

The product of roots with the same index is equal to the root of the product

\frac{5 215 \times 1 7 ^{4}}{5 17 \times 5 1 7 ^{4}}

Multiply the numbers

More Steps

Evaluate

517 \times 5 1 7^{4}

The product of roots with the same index is equal to the root of the product

5 17 \times 1 7^{4}

Calculate the product

5 1 7^{5}

Reduce the index of the radical and exponent with 5

17

\frac{5 215 \times 1 7 ^{4}}{17}

l = \frac{5 215 \times 1 7 ^{4}}{17}

Alternative Form

l \approx 1.661108

Show Solution