Solve 10f-f^3f^5f^4f^6f

Question

Simplify the expression

10 f - f^{19}

Evaluate

10 f - f^{3} \times f^{5} \times f^{4} \times f^{6} \times f

Solution

More Steps

Evaluate

f^{3} \times f^{5} \times f^{4} \times f^{6} \times f

Multiply the terms with the same base by adding their exponents

f^{3 + 5 + 4 + 6 + 1}

Add the numbers

f^{19}

10 f - f^{19}

Show Solution

f (10 - f^{18})

Evaluate

10 f - f^{3} \times f^{5} \times f^{4} \times f^{6} \times f

Multiply

More Steps

Evaluate

f^{3} \times f^{5} \times f^{4} \times f^{6} \times f

Multiply the terms with the same base by adding their exponents

f^{3 + 5 + 4 + 6 + 1}

Add the numbers

f^{19}

10 f - f^{19}

Rewrite the expression

f \times 10 - f \times f^{18}

Solution

f (10 - f^{18})

Show Solution

f_{1} = - 1810, f_{2} = 0, f_{3} = 1810

Alternative Form

f_{1} \approx - 1.136464, f_{2} = 0, f_{3} \approx 1.136464

Evaluate

10 f - f^{3} \times f^{5} \times f^{4} \times f^{6} \times f

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

10 f - f^{3} \times f^{5} \times f^{4} \times f^{6} \times f = 0

Multiply

More Steps

Multiply the terms

f^{3} \times f^{5} \times f^{4} \times f^{6} \times f

Multiply the terms with the same base by adding their exponents

f^{3 + 5 + 4 + 6 + 1}

Add the numbers

f^{19}

10 f - f^{19} = 0

Factor the expression

f (10 - f^{18}) = 0

Separate the equation into 2 possible cases

f = 0 10 - f^{18} = 0

Solve the equation

More Steps

Evaluate

10 - f^{18} = 0

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

- f^{18} = 0 - 10

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

- f^{18} = - 10

Change the signs on both sides of the equation

f^{18} = 10

Take the root of both sides of the equation and remember to use both positive and negative roots

f = \pm 1810

Separate the equation into 2 possible cases

f = 1810 f = - 1810

f = 0 f = 1810 f = - 1810

Solution

f_{1} = - 1810, f_{2} = 0, f_{3} = 1810

Alternative Form

f_{1} \approx - 1.136464, f_{2} = 0, f_{3} \approx 1.136464

Show Solution