Solve 2014 c^3500-60

Question

Simplify the expression

1007000 c^{3} - 60

Evaluate

2014 c^{3} \times 500 - 60

Solution

1007000 c^{3} - 60

Show Solution

20 (50350 c^{3} - 3)

Evaluate

2014 c^{3} \times 500 - 60

Multiply the terms

1007000 c^{3} - 60

Solution

20 (50350 c^{3} - 3)

Show Solution

c = \frac{3 3 \times 5035 0 ^{2}}{50350}

Alternative Form

c \approx 0.039058

Evaluate

2014 c^{3} \times 500 - 60

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

2014 c^{3} \times 500 - 60 = 0

Multiply the terms

1007000 c^{3} - 60 = 0

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

1007000 c^{3} = 0 + 60

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

1007000 c^{3} = 60

Divide both sides

\frac{1007000 c ^{3}}{1007000} = \frac{60}{1007000}

Divide the numbers

c^{3} = \frac{60}{1007000}

Cancel out the common factor 20

c^{3} = \frac{3}{50350}

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

3 c^{3} = 3 \frac{3}{50350}

Calculate

c = 3 \frac{3}{50350}

Solution

More Steps

Evaluate

3 \frac{3}{50350}

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

\frac{3 3}{3 50350}

Multiply by the Conjugate

\frac{3 3 \times 3 5035 0 ^{2}}{3 50350 \times 3 5035 0 ^{2}}

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

\frac{3 3 \times 5035 0 ^{2}}{3 50350 \times 3 5035 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

350350 \times 3 5035 0^{2}

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

3 50350 \times 5035 0^{2}

Calculate the product

3 5035 0^{3}

Reduce the index of the radical and exponent with 3

50350

\frac{3 3 \times 5035 0 ^{2}}{50350}

c = \frac{3 3 \times 5035 0 ^{2}}{50350}

Alternative Form

c \approx 0.039058

Show Solution