Solve l^480-4 - ScanMath

Question

Simplify the expression

80 l^{4} - 4

Evaluate

l^{4} \times 80 - 4

Solution

80 l^{4} - 4

Show Solution

4 (20 l^{4} - 1)

Evaluate

l^{4} \times 80 - 4

Use the commutative property to reorder the terms

80 l^{4} - 4

Solution

4 (20 l^{4} - 1)

Show Solution

l_{1} = - \frac{4 500}{10}, l_{2} = \frac{4 500}{10}

Alternative Form

l_{1} \approx - 0.472871, l_{2} \approx 0.472871

Evaluate

l^{4} \times 80 - 4

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

l^{4} \times 80 - 4 = 0

Use the commutative property to reorder the terms

80 l^{4} - 4 = 0

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

80 l^{4} = 0 + 4

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

80 l^{4} = 4

Divide both sides

\frac{80 l ^{4}}{80} = \frac{4}{80}

Divide the numbers

l^{4} = \frac{4}{80}

Cancel out the common factor 4

l^{4} = \frac{1}{20}

Take the root of both sides of the equation and remember to use both positive and negative roots

l = \pm 4 \frac{1}{20}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{20}

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

\frac{4 1}{4 20}

Simplify the radical expression

\frac{1}{4 20}

Multiply by the Conjugate

\frac{4 2 0 ^{3}}{4 20 \times 4 2 0 ^{3}}

Simplify

\frac{2 4 500}{4 20 \times 4 2 0 ^{3}}

Multiply the numbers

More Steps

Evaluate

420 \times 4 2 0^{3}

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

4 20 \times 2 0^{3}

Calculate the product

4 2 0^{4}

Reduce the index of the radical and exponent with 4

20

\frac{2 4 500}{20}

Cancel out the common factor 2

\frac{4 500}{10}

l = \pm \frac{4 500}{10}

Separate the equation into 2 possible cases

l = \frac{4 500}{10} l = - \frac{4 500}{10}

Solution

l_{1} = - \frac{4 500}{10}, l_{2} = \frac{4 500}{10}

Alternative Form

l_{1} \approx - 0.472871, l_{2} \approx 0.472871

Show Solution