Solve 132-684f^595

Question

Simplify the expression

132 - 64980 f^{5}

Evaluate

132 - 684 f^{5} \times 95

Solution

132 - 64980 f^{5}

Show Solution

12 (11 - 5415 f^{5})

Evaluate

132 - 684 f^{5} \times 95

Multiply the terms

132 - 64980 f^{5}

Solution

12 (11 - 5415 f^{5})

Show Solution

f = \frac{5 11 \times 541 5 ^{4}}{5415}

Alternative Form

f \approx 0.28944

Evaluate

132 - 684 f^{5} \times 95

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

132 - 684 f^{5} \times 95 = 0

Multiply the terms

132 - 64980 f^{5} = 0

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

- 64980 f^{5} = 0 - 132

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

- 64980 f^{5} = - 132

Change the signs on both sides of the equation

64980 f^{5} = 132

Divide both sides

\frac{64980 f ^{5}}{64980} = \frac{132}{64980}

Divide the numbers

f^{5} = \frac{132}{64980}

Cancel out the common factor 12

f^{5} = \frac{11}{5415}

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

5 f^{5} = 5 \frac{11}{5415}

Calculate

f = 5 \frac{11}{5415}

Solution

More Steps

Evaluate

5 \frac{11}{5415}

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

\frac{5 11}{5 5415}

Multiply by the Conjugate

\frac{5 11 \times 5 541 5 ^{4}}{5 5415 \times 5 541 5 ^{4}}

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

\frac{5 11 \times 541 5 ^{4}}{5 5415 \times 5 541 5 ^{4}}

Multiply the numbers

More Steps

Evaluate

55415 \times 5 541 5^{4}

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

5 5415 \times 541 5^{4}

Calculate the product

5 541 5^{5}

Reduce the index of the radical and exponent with 5

5415

\frac{5 11 \times 541 5 ^{4}}{5415}

f = \frac{5 11 \times 541 5 ^{4}}{5415}

Alternative Form

f \approx 0.28944

Show Solution