Solve 2s1s^2/s1 s^2

Question

Simplify the expression

2 s^{4}

Evaluate

2 s (1 \times \frac{s ^{2}}{s}) \times 1 \times s^{2}

Remove the parentheses

2 s \times 1 \times \frac{s ^{2}}{s} \times 1 \times s^{2}

Divide the terms

More Steps

Evaluate

\frac{s ^{2}}{s}

Use the product rule \frac{a ^{n}}{a ^{m}} = a^{n - m} to simplify the expression

\frac{s ^{2 - 1}}{1}

Simplify

s^{2 - 1}

Divide the terms

s

2 s \times 1 \times s \times 1 \times s^{2}

Rewrite the expression

2 s \times s \times s^{2}

Multiply the terms with the same base by adding their exponents

2 s^{1 + 2} \times s

Add the numbers

2 s^{3} \times s

Multiply the terms with the same base by adding their exponents

2 s^{1 + 3}

Solution

2 s^{4}

Show Solution

s = 0

Evaluate

2 s (1 \times \frac{s ^{2}}{s}) \times 1 \times s^{2}

Solution

s = 0

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s \in \emptyset

Evaluate

2 s (1 \times \frac{s ^{2}}{s}) \times 1 \times s^{2}

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

2 s (1 \times \frac{s ^{2}}{s}) \times 1 \times s^{2} = 0

Find the domain

2 s (1 \times \frac{s ^{2}}{s}) \times 1 \times s^{2} = 0, s \neq = 0

Calculate

2 s (1 \times \frac{s ^{2}}{s}) \times 1 \times s^{2} = 0

Divide the terms

More Steps

Evaluate

\frac{s ^{2}}{s}

Use the product rule \frac{a ^{n}}{a ^{m}} = a^{n - m} to simplify the expression

\frac{s ^{2 - 1}}{1}

Simplify

s^{2 - 1}

Divide the terms

s

2 s (1 \times s) \times 1 \times s^{2} = 0

Any expression multiplied by 1 remains the same

2 s \times s \times 1 \times s^{2} = 0

Multiply the terms

More Steps

Multiply the terms

2 s \times s \times 1 \times s^{2}

Rewrite the expression

2 s \times s \times s^{2}

Multiply the terms with the same base by adding their exponents

2 s^{1 + 2} \times s

Add the numbers

2 s^{3} \times s

Multiply the terms with the same base by adding their exponents

2 s^{1 + 3}

Add the numbers

2 s^{4}

2 s^{4} = 0

Rewrite the expression

s^{4} = 0

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

s = 0

Check if the solution is in the defined range

s = 0, s \neq = 0

Solution

s \in \emptyset

Show Solution