Solve 1f^3010119-31

Question

Simplify the expression

10119 f^{3} - 31

Evaluate

1 \times f^{3} \times 10119 - 31

Solution

More Steps

Evaluate

1 \times f^{3} \times 10119

Rewrite the expression

f^{3} \times 10119

Use the commutative property to reorder the terms

10119 f^{3}

10119 f^{3} - 31

Show Solution

f = \frac{3 31 \times 1011 9 ^{2}}{10119}

Alternative Form

f \approx 0.145236

Evaluate

1 \times f^{3} \times 10119 - 31

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

1 \times f^{3} \times 10119 - 31 = 0

Multiply the terms

More Steps

Multiply the terms

1 \times f^{3} \times 10119

Rewrite the expression

f^{3} \times 10119

Use the commutative property to reorder the terms

10119 f^{3}

10119 f^{3} - 31 = 0

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

10119 f^{3} = 0 + 31

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

10119 f^{3} = 31

Divide both sides

\frac{10119 f ^{3}}{10119} = \frac{31}{10119}

Divide the numbers

f^{3} = \frac{31}{10119}

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

3 f^{3} = 3 \frac{31}{10119}

Calculate

f = 3 \frac{31}{10119}

Solution

More Steps

Evaluate

3 \frac{31}{10119}

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

\frac{3 31}{3 10119}

Multiply by the Conjugate

\frac{3 31 \times 3 1011 9 ^{2}}{3 10119 \times 3 1011 9 ^{2}}

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

\frac{3 31 \times 1011 9 ^{2}}{3 10119 \times 3 1011 9 ^{2}}

Multiply the numbers

More Steps

Evaluate

310119 \times 3 1011 9^{2}

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

3 10119 \times 1011 9^{2}

Calculate the product

3 1011 9^{3}

Reduce the index of the radical and exponent with 3

10119

\frac{3 31 \times 1011 9 ^{2}}{10119}

f = \frac{3 31 \times 1011 9 ^{2}}{10119}

Alternative Form

f \approx 0.145236

Show Solution