Solve g^4600-64400

Question

Simplify the expression

600 g^{4} - 64400

Evaluate

g^{4} \times 600 - 64400

Solution

600 g^{4} - 64400

Show Solution

200 (3 g^{4} - 322)

Evaluate

g^{4} \times 600 - 64400

Use the commutative property to reorder the terms

600 g^{4} - 64400

Solution

200 (3 g^{4} - 322)

Show Solution

g_{1} = - \frac{4 8694}{3}, g_{2} = \frac{4 8694}{3}

Alternative Form

g_{1} \approx - 3.218723, g_{2} \approx 3.218723

Evaluate

g^{4} \times 600 - 64400

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

g^{4} \times 600 - 64400 = 0

Use the commutative property to reorder the terms

600 g^{4} - 64400 = 0

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

600 g^{4} = 0 + 64400

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

600 g^{4} = 64400

Divide both sides

\frac{600 g ^{4}}{600} = \frac{64400}{600}

Divide the numbers

g^{4} = \frac{64400}{600}

Cancel out the common factor 200

g^{4} = \frac{322}{3}

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

g = \pm 4 \frac{322}{3}

Simplify the expression

More Steps

Evaluate

4 \frac{322}{3}

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

\frac{4 322}{4 3}

Multiply by the Conjugate

\frac{4 322 \times 4 3 ^{3}}{4 3 \times 4 3 ^{3}}

Simplify

\frac{4 322 \times 4 27}{4 3 \times 4 3 ^{3}}

Multiply the numbers

More Steps

Evaluate

4322 \times 427

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

4 322 \times 27

Calculate the product

48694

\frac{4 8694}{4 3 \times 4 3 ^{3}}

Multiply the numbers

More Steps

Evaluate

43 \times 4 3^{3}

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

4 3 \times 3^{3}

Calculate the product

4 3^{4}

Reduce the index of the radical and exponent with 4

3

\frac{4 8694}{3}

g = \pm \frac{4 8694}{3}

Separate the equation into 2 possible cases

g = \frac{4 8694}{3} g = - \frac{4 8694}{3}

Solution

g_{1} = - \frac{4 8694}{3}, g_{2} = \frac{4 8694}{3}

Alternative Form

g_{1} \approx - 3.218723, g_{2} \approx 3.218723

Show Solution