Solve g^4220-81013

Question

Simplify the expression

220 g^{4} - 81013

Evaluate

g^{4} \times 220 - 81013

Solution

220 g^{4} - 81013

Show Solution

g_{1} = - \frac{4 81013 \times 22 0 ^{3}}{220}, g_{2} = \frac{4 81013 \times 22 0 ^{3}}{220}

Alternative Form

g_{1} \approx - 4.380594, g_{2} \approx 4.380594

Evaluate

g^{4} \times 220 - 81013

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

g^{4} \times 220 - 81013 = 0

Use the commutative property to reorder the terms

220 g^{4} - 81013 = 0

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

220 g^{4} = 0 + 81013

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

220 g^{4} = 81013

Divide both sides

\frac{220 g ^{4}}{220} = \frac{81013}{220}

Divide the numbers

g^{4} = \frac{81013}{220}

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

g = \pm 4 \frac{81013}{220}

Simplify the expression

More Steps

Evaluate

4 \frac{81013}{220}

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

\frac{4 81013}{4 220}

Multiply by the Conjugate

\frac{4 81013 \times 4 22 0 ^{3}}{4 220 \times 4 22 0 ^{3}}

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

\frac{4 81013 \times 22 0 ^{3}}{4 220 \times 4 22 0 ^{3}}

Multiply the numbers

More Steps

Evaluate

4220 \times 4 22 0^{3}

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

4 220 \times 22 0^{3}

Calculate the product

4 22 0^{4}

Reduce the index of the radical and exponent with 4

220

\frac{4 81013 \times 22 0 ^{3}}{220}

g = \pm \frac{4 81013 \times 22 0 ^{3}}{220}

Separate the equation into 2 possible cases

g = \frac{4 81013 \times 22 0 ^{3}}{220} g = - \frac{4 81013 \times 22 0 ^{3}}{220}

Solution

g_{1} = - \frac{4 81013 \times 22 0 ^{3}}{220}, g_{2} = \frac{4 81013 \times 22 0 ^{3}}{220}

Alternative Form

g_{1} \approx - 4.380594, g_{2} \approx 4.380594

Show Solution