Solve l^52560-1 - ScanMath

Question

Simplify the expression

2560 l^{5} - 1

Evaluate

l^{5} \times 2560 - 1

Solution

2560 l^{5} - 1

Show Solution

l = \frac{5 8 0 ^{4}}{160}

Alternative Form

l \approx 0.208138

Evaluate

l^{5} \times 2560 - 1

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

l^{5} \times 2560 - 1 = 0

Use the commutative property to reorder the terms

2560 l^{5} - 1 = 0

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

2560 l^{5} = 0 + 1

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

2560 l^{5} = 1

Divide both sides

\frac{2560 l ^{5}}{2560} = \frac{1}{2560}

Divide the numbers

l^{5} = \frac{1}{2560}

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

5 l^{5} = 5 \frac{1}{2560}

Calculate

l = 5 \frac{1}{2560}

Solution

More Steps

Evaluate

5 \frac{1}{2560}

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

\frac{5 1}{5 2560}

Simplify the radical expression

\frac{1}{5 2560}

Simplify the radical expression

More Steps

Evaluate

52560

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

5 32 \times 80

Write the number in exponential form with the base of 2

5 2^{5} \times 80

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

5 2^{5} \times 580

Reduce the index of the radical and exponent with 5

2580

\frac{1}{2 5 80}

Multiply by the Conjugate

\frac{5 8 0 ^{4}}{2 5 80 \times 5 8 0 ^{4}}

Multiply the numbers

More Steps

Evaluate

2580 \times 5 8 0^{4}

Multiply the terms

2 \times 80

Multiply the terms

160

\frac{5 8 0 ^{4}}{160}

l = \frac{5 8 0 ^{4}}{160}

Alternative Form

l \approx 0.208138

Show Solution