Solve e-2174g^2146g

Question

Simplify the expression

e - 317404 g^{3}

Evaluate

e - 2174 g^{2} \times 146 g

Solution

More Steps

Evaluate

2174 g^{2} \times 146 g

Multiply the terms

317404 g^{2} \times g

Multiply the terms with the same base by adding their exponents

317404 g^{2 + 1}

Add the numbers

317404 g^{3}

e - 317404 g^{3}

Show Solution

g = \frac{3 31740 4 ^{2} e}{317404}

Alternative Form

g \approx 0.020459

Evaluate

e - 2174 g^{2} \times 146 g

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

e - 2174 g^{2} \times 146 g = 0

Multiply

More Steps

Multiply the terms

2174 g^{2} \times 146 g

Multiply the terms

317404 g^{2} \times g

Multiply the terms with the same base by adding their exponents

317404 g^{2 + 1}

Add the numbers

317404 g^{3}

e - 317404 g^{3} = 0

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

- 317404 g^{3} = 0 - e

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

- 317404 g^{3} = - e

Change the signs on both sides of the equation

317404 g^{3} = e

Divide both sides

\frac{317404 g ^{3}}{317404} = \frac{e}{317404}

Divide the numbers

g^{3} = \frac{e}{317404}

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

3 g^{3} = 3 \frac{e}{317404}

Calculate

g = 3 \frac{e}{317404}

Solution

More Steps

Evaluate

3 \frac{e}{317404}

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

\frac{3 e}{3 317404}

Multiply by the Conjugate

\frac{3 e \times 3 31740 4 ^{2}}{3 317404 \times 3 31740 4 ^{2}}

Multiply the numbers

More Steps

Evaluate

3 e \times 3 31740 4^{2}

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

3 e \times 31740 4^{2}

Calculate the product

3 31740 4^{2} e

\frac{3 31740 4 ^{2} e}{3 317404 \times 3 31740 4 ^{2}}

Multiply the numbers

More Steps

Evaluate

3317404 \times 3 31740 4^{2}

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

3 317404 \times 31740 4^{2}

Calculate the product

3 31740 4^{3}

Reduce the index of the radical and exponent with 3

317404

\frac{3 31740 4 ^{2} e}{317404}

g = \frac{3 31740 4 ^{2} e}{317404}

Alternative Form

g \approx 0.020459

Show Solution