Solve g^3170-80103

Question

Simplify the expression

170 g^{3} - 80103

Evaluate

g^{3} \times 170 - 80103

Solution

170 g^{3} - 80103

Show Solution

g = \frac{3 2314976700}{170}

Alternative Form

g \approx 7.781559

Evaluate

g^{3} \times 170 - 80103

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

g^{3} \times 170 - 80103 = 0

Use the commutative property to reorder the terms

170 g^{3} - 80103 = 0

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

170 g^{3} = 0 + 80103

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

170 g^{3} = 80103

Divide both sides

\frac{170 g ^{3}}{170} = \frac{80103}{170}

Divide the numbers

g^{3} = \frac{80103}{170}

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

3 g^{3} = 3 \frac{80103}{170}

Calculate

g = 3 \frac{80103}{170}

Solution

More Steps

Evaluate

3 \frac{80103}{170}

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

\frac{3 80103}{3 170}

Multiply by the Conjugate

\frac{3 80103 \times 3 17 0 ^{2}}{3 170 \times 3 17 0 ^{2}}

Simplify

\frac{3 80103 \times 3 28900}{3 170 \times 3 17 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

380103 \times 328900

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

3 80103 \times 28900

Calculate the product

32314976700

\frac{3 2314976700}{3 170 \times 3 17 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

3170 \times 3 17 0^{2}

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

3 170 \times 17 0^{2}

Calculate the product

3 17 0^{3}

Reduce the index of the radical and exponent with 3

170

\frac{3 2314976700}{170}

g = \frac{3 2314976700}{170}

Alternative Form

g \approx 7.781559

Show Solution