Solve 2012 g^370-60

Question

Simplify the expression

140840 g^{3} - 60

Evaluate

2012 g^{3} \times 70 - 60

Solution

140840 g^{3} - 60

Show Solution

20 (7042 g^{3} - 3)

Evaluate

2012 g^{3} \times 70 - 60

Multiply the terms

140840 g^{3} - 60

Solution

20 (7042 g^{3} - 3)

Show Solution

g = \frac{3 3 \times 704 2 ^{2}}{7042}

Alternative Form

g \approx 0.075245

Evaluate

2012 g^{3} \times 70 - 60

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

2012 g^{3} \times 70 - 60 = 0

Multiply the terms

140840 g^{3} - 60 = 0

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

140840 g^{3} = 0 + 60

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

140840 g^{3} = 60

Divide both sides

\frac{140840 g ^{3}}{140840} = \frac{60}{140840}

Divide the numbers

g^{3} = \frac{60}{140840}

Cancel out the common factor 20

g^{3} = \frac{3}{7042}

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

3 g^{3} = 3 \frac{3}{7042}

Calculate

g = 3 \frac{3}{7042}

Solution

More Steps

Evaluate

3 \frac{3}{7042}

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

\frac{3 3}{3 7042}

Multiply by the Conjugate

\frac{3 3 \times 3 704 2 ^{2}}{3 7042 \times 3 704 2 ^{2}}

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

\frac{3 3 \times 704 2 ^{2}}{3 7042 \times 3 704 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

37042 \times 3 704 2^{2}

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

3 7042 \times 704 2^{2}

Calculate the product

3 704 2^{3}

Reduce the index of the radical and exponent with 3

7042

\frac{3 3 \times 704 2 ^{2}}{7042}

g = \frac{3 3 \times 704 2 ^{2}}{7042}

Alternative Form

g \approx 0.075245

Show Solution