Solve (912-v^513-1)

Question

Simplify the expression

911 - 13 v^{5}

Evaluate

912 - v^{5} \times 13 - 1

Use the commutative property to reorder the terms

912 - 13 v^{5} - 1

Solution

911 - 13 v^{5}

Show Solution

v = \frac{5 26019071}{13}

Alternative Form

v \approx 2.339457

Evaluate

(912 - v^{5} \times 13 - 1)

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

912 - v^{5} \times 13 - 1 = 0

Use the commutative property to reorder the terms

912 - 13 v^{5} - 1 = 0

Subtract the numbers

911 - 13 v^{5} = 0

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

- 13 v^{5} = 0 - 911

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

- 13 v^{5} = - 911

Change the signs on both sides of the equation

13 v^{5} = 911

Divide both sides

\frac{13 v ^{5}}{13} = \frac{911}{13}

Divide the numbers

v^{5} = \frac{911}{13}

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

5 v^{5} = 5 \frac{911}{13}

Calculate

v = 5 \frac{911}{13}

Solution

More Steps

Evaluate

5 \frac{911}{13}

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

\frac{5 911}{5 13}

Multiply by the Conjugate

\frac{5 911 \times 5 1 3 ^{4}}{5 13 \times 5 1 3 ^{4}}

Simplify

\frac{5 911 \times 5 28561}{5 13 \times 5 1 3 ^{4}}

Multiply the numbers

More Steps

Evaluate

5911 \times 528561

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

5 911 \times 28561

Calculate the product

526019071

\frac{5 26019071}{5 13 \times 5 1 3 ^{4}}

Multiply the numbers

More Steps

Evaluate

513 \times 5 1 3^{4}

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

5 13 \times 1 3^{4}

Calculate the product

5 1 3^{5}

Reduce the index of the radical and exponent with 5

13

\frac{5 26019071}{13}

v = \frac{5 26019071}{13}

Alternative Form

v \approx 2.339457

Show Solution