Solve l^31404-1 - ScanMath

Question

Simplify the expression

1404 l^{3} - 1

Evaluate

l^{3} \times 1404 - 1

Solution

1404 l^{3} - 1

Show Solution

l = \frac{3 338}{78}

Alternative Form

l \approx 0.089305

Evaluate

l^{3} \times 1404 - 1

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

l^{3} \times 1404 - 1 = 0

Use the commutative property to reorder the terms

1404 l^{3} - 1 = 0

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

1404 l^{3} = 0 + 1

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

1404 l^{3} = 1

Divide both sides

\frac{1404 l ^{3}}{1404} = \frac{1}{1404}

Divide the numbers

l^{3} = \frac{1}{1404}

Take the 3 -th root on both sides of the equation

3 l^{3} = 3 \frac{1}{1404}

Calculate

l = 3 \frac{1}{1404}

Solution

More Steps

Evaluate

3 \frac{1}{1404}

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

\frac{3 1}{3 1404}

Simplify the radical expression

\frac{1}{3 1404}

Simplify the radical expression

More Steps

Evaluate

31404

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

3 27 \times 52

Write the number in exponential form with the base of 3

3 3^{3} \times 52

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

3 3^{3} \times 352

Reduce the index of the radical and exponent with 3

3352

\frac{1}{3 3 52}

Multiply by the Conjugate

\frac{3 5 2 ^{2}}{3 3 52 \times 3 5 2 ^{2}}

Simplify

\frac{2 3 338}{3 3 52 \times 3 5 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

3352 \times 3 5 2^{2}

Multiply the terms

3 \times 52

Multiply the terms

156

\frac{2 3 338}{156}

Cancel out the common factor 2

\frac{3 338}{78}

l = \frac{3 338}{78}

Alternative Form

l \approx 0.089305

Show Solution