Solve f^3416-1 - ScanMath

Question

Simplify the expression

416 f^{3} - 1

Evaluate

f^{3} \times 416 - 1

Solution

416 f^{3} - 1

Show Solution

f = \frac{3 338}{52}

Alternative Form

f \approx 0.133958

Evaluate

f^{3} \times 416 - 1

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

f^{3} \times 416 - 1 = 0

Use the commutative property to reorder the terms

416 f^{3} - 1 = 0

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

416 f^{3} = 0 + 1

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

416 f^{3} = 1

Divide both sides

\frac{416 f ^{3}}{416} = \frac{1}{416}

Divide the numbers

f^{3} = \frac{1}{416}

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

3 f^{3} = 3 \frac{1}{416}

Calculate

f = 3 \frac{1}{416}

Solution

More Steps

Evaluate

3 \frac{1}{416}

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

\frac{3 1}{3 416}

Simplify the radical expression

\frac{1}{3 416}

Simplify the radical expression

More Steps

Evaluate

3416

Write the expression as a product where the root of one of the factors can be evaluated

3 8 \times 52

Write the number in exponential form with the base of 2

3 2^{3} \times 52

The root of a product is equal to the product of the roots of each factor

3 2^{3} \times 352

Reduce the index of the radical and exponent with 3

2352

\frac{1}{2 3 52}

Multiply by the Conjugate

\frac{3 5 2 ^{2}}{2 3 52 \times 3 5 2 ^{2}}

Simplify

\frac{2 3 338}{2 3 52 \times 3 5 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

2352 \times 3 5 2^{2}

Multiply the terms

2 \times 52

Multiply the terms

104

\frac{2 3 338}{104}

Cancel out the common factor 2

\frac{3 338}{52}

f = \frac{3 338}{52}

Alternative Form

f \approx 0.133958

Show Solution