Solve V^4555220-100

Question

Simplify the expression

555220 V^{4} - 100

Evaluate

V^{4} \times 555220 - 100

Solution

555220 V^{4} - 100

Show Solution

20 (27761 V^{4} - 5)

Evaluate

V^{4} \times 555220 - 100

Use the commutative property to reorder the terms

555220 V^{4} - 100

Solution

20 (27761 V^{4} - 5)

Show Solution

V_{1} = - \frac{4 5 \times 2776 1 ^{3}}{27761}, V_{2} = \frac{4 5 \times 2776 1 ^{3}}{27761}

Alternative Form

V_{1} \approx - 0.115847, V_{2} \approx 0.115847

Evaluate

V^{4} \times 555220 - 100

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

V^{4} \times 555220 - 100 = 0

Use the commutative property to reorder the terms

555220 V^{4} - 100 = 0

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

555220 V^{4} = 0 + 100

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

555220 V^{4} = 100

Divide both sides

\frac{555220 V ^{4}}{555220} = \frac{100}{555220}

Divide the numbers

V^{4} = \frac{100}{555220}

Cancel out the common factor 20

V^{4} = \frac{5}{27761}

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

V = \pm 4 \frac{5}{27761}

Simplify the expression

More Steps

Evaluate

4 \frac{5}{27761}

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

\frac{4 5}{4 27761}

Multiply by the Conjugate

\frac{4 5 \times 4 2776 1 ^{3}}{4 27761 \times 4 2776 1 ^{3}}

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

\frac{4 5 \times 2776 1 ^{3}}{4 27761 \times 4 2776 1 ^{3}}

Multiply the numbers

More Steps

Evaluate

427761 \times 4 2776 1^{3}

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

4 27761 \times 2776 1^{3}

Calculate the product

4 2776 1^{4}

Reduce the index of the radical and exponent with 4

27761

\frac{4 5 \times 2776 1 ^{3}}{27761}

V = \pm \frac{4 5 \times 2776 1 ^{3}}{27761}

Separate the equation into 2 possible cases

V = \frac{4 5 \times 2776 1 ^{3}}{27761} V = - \frac{4 5 \times 2776 1 ^{3}}{27761}

Solution

V_{1} = - \frac{4 5 \times 2776 1 ^{3}}{27761}, V_{2} = \frac{4 5 \times 2776 1 ^{3}}{27761}

Alternative Form

V_{1} \approx - 0.115847, V_{2} \approx 0.115847

Show Solution