Solve 5+V^55555 - ScanMath

Question

Simplify the expression

5 + 5555 V^{5}

Evaluate

5 + V^{5} \times 5555

Solution

5 + 5555 V^{5}

Show Solution

5 (1 + 1111 V^{5})

Evaluate

5 + V^{5} \times 5555

Use the commutative property to reorder the terms

5 + 5555 V^{5}

Solution

5 (1 + 1111 V^{5})

Show Solution

V = - \frac{5 111 1 ^{4}}{1111}

Alternative Form

V \approx - 0.245956

Evaluate

5 + V^{5} \times 5555

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

5 + V^{5} \times 5555 = 0

Use the commutative property to reorder the terms

5 + 5555 V^{5} = 0

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

5555 V^{5} = 0 - 5

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

5555 V^{5} = - 5

Divide both sides

\frac{5555 V ^{5}}{5555} = \frac{- 5}{5555}

Divide the numbers

V^{5} = \frac{- 5}{5555}

Divide the numbers

More Steps

Evaluate

\frac{- 5}{5555}

Cancel out the common factor 5

\frac{- 1}{1111}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{1}{1111}

V^{5} = - \frac{1}{1111}

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

5 V^{5} = 5 - \frac{1}{1111}

Calculate

V = 5 - \frac{1}{1111}

Solution

More Steps

Evaluate

5 - \frac{1}{1111}

An odd root of a negative radicand is always a negative

- 5 \frac{1}{1111}

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

- \frac{5 1}{5 1111}

Simplify the radical expression

- \frac{1}{5 1111}

Multiply by the Conjugate

\frac{- 5 111 1 ^{4}}{5 1111 \times 5 111 1 ^{4}}

Multiply the numbers

More Steps

Evaluate

51111 \times 5 111 1^{4}

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

5 1111 \times 111 1^{4}

Calculate the product

5 111 1^{5}

Reduce the index of the radical and exponent with 5

1111

\frac{- 5 111 1 ^{4}}{1111}

Calculate

- \frac{5 111 1 ^{4}}{1111}

V = - \frac{5 111 1 ^{4}}{1111}

Alternative Form

V \approx - 0.245956

Show Solution