Solve 70-530f^502

Question

Simplify the expression

70 - 1060 f^{5}

Evaluate

70 - 530 f^{5} \times 2

Solution

70 - 1060 f^{5}

Show Solution

10 (7 - 106 f^{5})

Evaluate

70 - 530 f^{5} \times 2

Multiply the terms

70 - 1060 f^{5}

Solution

10 (7 - 106 f^{5})

Show Solution

f = \frac{5 7 \times 10 6 ^{4}}{106}

Alternative Form

f \approx 0.580709

Evaluate

70 - 530 f^{5} \times 2

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

70 - 530 f^{5} \times 2 = 0

Multiply the terms

70 - 1060 f^{5} = 0

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

- 1060 f^{5} = 0 - 70

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

- 1060 f^{5} = - 70

Change the signs on both sides of the equation

1060 f^{5} = 70

Divide both sides

\frac{1060 f ^{5}}{1060} = \frac{70}{1060}

Divide the numbers

f^{5} = \frac{70}{1060}

Cancel out the common factor 10

f^{5} = \frac{7}{106}

Take the 5 -th root on both sides of the equation

5 f^{5} = 5 \frac{7}{106}

Calculate

f = 5 \frac{7}{106}

Solution

More Steps

Evaluate

5 \frac{7}{106}

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

\frac{5 7}{5 106}

Multiply by the Conjugate

\frac{5 7 \times 5 10 6 ^{4}}{5 106 \times 5 10 6 ^{4}}

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

\frac{5 7 \times 10 6 ^{4}}{5 106 \times 5 10 6 ^{4}}

Multiply the numbers

More Steps

Evaluate

5106 \times 5 10 6^{4}

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

5 106 \times 10 6^{4}

Calculate the product

5 10 6^{5}

Reduce the index of the radical and exponent with 5

106

\frac{5 7 \times 10 6 ^{4}}{106}

f = \frac{5 7 \times 10 6 ^{4}}{106}

Alternative Form

f \approx 0.580709

Show Solution