Solve l^512-1 - ScanMath

Question

Simplify the expression

12 l^{5} - 1

Evaluate

l^{5} \times 12 - 1

Solution

12 l^{5} - 1

Show Solution

l = \frac{5 648}{6}

Alternative Form

l \approx 0.608364

Evaluate

l^{5} \times 12 - 1

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

l^{5} \times 12 - 1 = 0

Use the commutative property to reorder the terms

12 l^{5} - 1 = 0

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

12 l^{5} = 0 + 1

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

12 l^{5} = 1

Divide both sides

\frac{12 l ^{5}}{12} = \frac{1}{12}

Divide the numbers

l^{5} = \frac{1}{12}

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

5 l^{5} = 5 \frac{1}{12}

Calculate

l = 5 \frac{1}{12}

Solution

More Steps

Evaluate

5 \frac{1}{12}

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

\frac{5 1}{5 12}

Simplify the radical expression

\frac{1}{5 12}

Multiply by the Conjugate

\frac{5 1 2 ^{4}}{5 12 \times 5 1 2 ^{4}}

Simplify

\frac{2 5 648}{5 12 \times 5 1 2 ^{4}}

Multiply the numbers

More Steps

Evaluate

512 \times 5 1 2^{4}

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

5 12 \times 1 2^{4}

Calculate the product

5 1 2^{5}

Reduce the index of the radical and exponent with 5

12

\frac{2 5 648}{12}

Cancel out the common factor 2

\frac{5 648}{6}

l = \frac{5 648}{6}

Alternative Form

l \approx 0.608364

Show Solution