Solve l^6112-4 - ScanMath

Question

Simplify the expression

112 l^{6} - 4

Evaluate

l^{6} \times 112 - 4

Solution

112 l^{6} - 4

Show Solution

4 (28 l^{6} - 1)

Evaluate

l^{6} \times 112 - 4

Use the commutative property to reorder the terms

112 l^{6} - 4

Solution

4 (28 l^{6} - 1)

Show Solution

l_{1} = - \frac{6 2 8 ^{5}}{28}, l_{2} = \frac{6 2 8 ^{5}}{28}

Alternative Form

l_{1} \approx - 0.573861, l_{2} \approx 0.573861

Evaluate

l^{6} \times 112 - 4

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

l^{6} \times 112 - 4 = 0

Use the commutative property to reorder the terms

112 l^{6} - 4 = 0

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

112 l^{6} = 0 + 4

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

112 l^{6} = 4

Divide both sides

\frac{112 l ^{6}}{112} = \frac{4}{112}

Divide the numbers

l^{6} = \frac{4}{112}

Cancel out the common factor 4

l^{6} = \frac{1}{28}

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

l = \pm 6 \frac{1}{28}

Simplify the expression

More Steps

Evaluate

6 \frac{1}{28}

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

\frac{6 1}{6 28}

Simplify the radical expression

\frac{1}{6 28}

Multiply by the Conjugate

\frac{6 2 8 ^{5}}{6 28 \times 6 2 8 ^{5}}

Multiply the numbers

More Steps

Evaluate

628 \times 6 2 8^{5}

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

6 28 \times 2 8^{5}

Calculate the product

6 2 8^{6}

Reduce the index of the radical and exponent with 6

28

\frac{6 2 8 ^{5}}{28}

l = \pm \frac{6 2 8 ^{5}}{28}

Separate the equation into 2 possible cases

l = \frac{6 2 8 ^{5}}{28} l = - \frac{6 2 8 ^{5}}{28}

Solution

l_{1} = - \frac{6 2 8 ^{5}}{28}, l_{2} = \frac{6 2 8 ^{5}}{28}

Alternative Form

l_{1} \approx - 0.573861, l_{2} \approx 0.573861

Show Solution