Solve 202t t^(3)-t^(5)

Question

Simplify the expression

202 t^{4} - t^{5}

Evaluate

202 t \times t^{3} - t^{5}

Solution

More Steps

Evaluate

202 t \times t^{3}

Multiply the terms with the same base by adding their exponents

202 t^{1 + 3}

Add the numbers

202 t^{4}

202 t^{4} - t^{5}

Show Solution

t^{4} (202 - t)

Evaluate

202 t \times t^{3} - t^{5}

Multiply

More Steps

Evaluate

202 t \times t^{3}

Multiply the terms with the same base by adding their exponents

202 t^{1 + 3}

Add the numbers

202 t^{4}

202 t^{4} - t^{5}

Rewrite the expression

t^{4} \times 202 - t^{4} \times t

Solution

t^{4} (202 - t)

Show Solution

t_{1} = 0, t_{2} = 202

Evaluate

202 t \times t^{3} - t^{5}

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

202 t \times t^{3} - t^{5} = 0

Multiply

More Steps

Multiply the terms

202 t \times t^{3}

Multiply the terms with the same base by adding their exponents

202 t^{1 + 3}

Add the numbers

202 t^{4}

202 t^{4} - t^{5} = 0

Factor the expression

t^{4} (202 - t) = 0

Separate the equation into 2 possible cases

t^{4} = 0 202 - t = 0

The only way a power can be 0 is when the base equals 0

t = 0 202 - t = 0

Solve the equation

More Steps

Evaluate

202 - t = 0

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

- t = 0 - 202

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

- t = - 202

Change the signs on both sides of the equation

t = 202

t = 0 t = 202

Solution

t_{1} = 0, t_{2} = 202

Show Solution