Solve g^3660-80301

Question

Simplify the expression

660 g^{3} - 80301

Evaluate

g^{3} \times 660 - 80301

Solution

660 g^{3} - 80301

Show Solution

3 (220 g^{3} - 26767)

Evaluate

g^{3} \times 660 - 80301

Use the commutative property to reorder the terms

660 g^{3} - 80301

Solution

3 (220 g^{3} - 26767)

Show Solution

g = \frac{3 161940350}{110}

Alternative Form

g \approx 4.955175

Evaluate

g^{3} \times 660 - 80301

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

g^{3} \times 660 - 80301 = 0

Use the commutative property to reorder the terms

660 g^{3} - 80301 = 0

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

660 g^{3} = 0 + 80301

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

660 g^{3} = 80301

Divide both sides

\frac{660 g ^{3}}{660} = \frac{80301}{660}

Divide the numbers

g^{3} = \frac{80301}{660}

Cancel out the common factor 3

g^{3} = \frac{26767}{220}

Take the 3 -th root on both sides of the equation

3 g^{3} = 3 \frac{26767}{220}

Calculate

g = 3 \frac{26767}{220}

Solution

More Steps

Evaluate

3 \frac{26767}{220}

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

\frac{3 26767}{3 220}

Multiply by the Conjugate

\frac{3 26767 \times 3 22 0 ^{2}}{3 220 \times 3 22 0 ^{2}}

Simplify

\frac{3 26767 \times 2 3 6050}{3 220 \times 3 22 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

326767 \times 236050

Multiply the terms

3161940350 \times 2

Use the commutative property to reorder the terms

23161940350

\frac{2 3 161940350}{3 220 \times 3 22 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

3220 \times 3 22 0^{2}

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

3 220 \times 22 0^{2}

Calculate the product

3 22 0^{3}

Reduce the index of the radical and exponent with 3

220

\frac{2 3 161940350}{220}

Cancel out the common factor 2

\frac{3 161940350}{110}

g = \frac{3 161940350}{110}

Alternative Form

g \approx 4.955175

Show Solution