Solve l^561-64 - ScanMath

Question

Simplify the expression

61 l^{5} - 64

Evaluate

l^{5} \times 61 - 64

Solution

61 l^{5} - 64

Show Solution

l = \frac{2 5 2 \times 6 1 ^{4}}{61}

Alternative Form

l \approx 1.009648

Evaluate

l^{5} \times 61 - 64

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

l^{5} \times 61 - 64 = 0

Use the commutative property to reorder the terms

61 l^{5} - 64 = 0

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

61 l^{5} = 0 + 64

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

61 l^{5} = 64

Divide both sides

\frac{61 l ^{5}}{61} = \frac{64}{61}

Divide the numbers

l^{5} = \frac{64}{61}

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

5 l^{5} = 5 \frac{64}{61}

Calculate

l = 5 \frac{64}{61}

Solution

More Steps

Evaluate

5 \frac{64}{61}

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

\frac{5 64}{5 61}

Simplify the radical expression

More Steps

Evaluate

564

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

5 32 \times 2

Write the number in exponential form with the base of 2

5 2^{5} \times 2

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

5 2^{5} \times 52

Reduce the index of the radical and exponent with 5

252

\frac{2 5 2}{5 61}

Multiply by the Conjugate

\frac{2 5 2 \times 5 6 1 ^{4}}{5 61 \times 5 6 1 ^{4}}

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

\frac{2 5 2 \times 6 1 ^{4}}{5 61 \times 5 6 1 ^{4}}

Multiply the numbers

More Steps

Evaluate

561 \times 5 6 1^{4}

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

5 61 \times 6 1^{4}

Calculate the product

5 6 1^{5}

Reduce the index of the radical and exponent with 5

61

\frac{2 5 2 \times 6 1 ^{4}}{61}

l = \frac{2 5 2 \times 6 1 ^{4}}{61}

Alternative Form

l \approx 1.009648

Show Solution