Solve 8f^32-280 - ScanMath

Question

Simplify the expression

16 f^{3} - 280

Evaluate

8 f^{3} \times 2 - 280

Solution

16 f^{3} - 280

Show Solution

8 (2 f^{3} - 35)

Evaluate

8 f^{3} \times 2 - 280

Multiply the terms

16 f^{3} - 280

Solution

8 (2 f^{3} - 35)

Show Solution

f = \frac{3 140}{2}

Alternative Form

f \approx 2.596247

Evaluate

8 f^{3} \times 2 - 280

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

8 f^{3} \times 2 - 280 = 0

Multiply the terms

16 f^{3} - 280 = 0

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

16 f^{3} = 0 + 280

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

16 f^{3} = 280

Divide both sides

\frac{16 f ^{3}}{16} = \frac{280}{16}

Divide the numbers

f^{3} = \frac{280}{16}

Cancel out the common factor 8

f^{3} = \frac{35}{2}

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

3 f^{3} = 3 \frac{35}{2}

Calculate

f = 3 \frac{35}{2}

Solution

More Steps

Evaluate

3 \frac{35}{2}

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

\frac{3 35}{3 2}

Multiply by the Conjugate

\frac{3 35 \times 3 2 ^{2}}{3 2 \times 3 2 ^{2}}

Simplify

\frac{3 35 \times 3 4}{3 2 \times 3 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

335 \times 34

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

3 35 \times 4

Calculate the product

3140

\frac{3 140}{3 2 \times 3 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

32 \times 3 2^{2}

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

3 2 \times 2^{2}

Calculate the product

3 2^{3}

Reduce the index of the radical and exponent with 3

2

\frac{3 140}{2}

f = \frac{3 140}{2}

Alternative Form

f \approx 2.596247

Show Solution