Solve m1m^2/m1 m^2

Question

Simplify the expression

m^{4}

Evaluate

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

Remove the parentheses

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

Divide the terms

More Steps

Evaluate

\frac{m ^{2}}{m}

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

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

Simplify

m^{2 - 1}

Divide the terms

m

m \times 1 \times m \times 1 \times m^{2}

Rewrite the expression

m \times m \times m^{2}

Multiply the terms with the same base by adding their exponents

m^{1 + 2} \times m

Add the numbers

m^{3} \times m

Multiply the terms with the same base by adding their exponents

m^{1 + 3}

Solution

m^{4}

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m = 0

Evaluate

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

Solution

m = 0

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m \in \emptyset

Evaluate

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

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

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

Find the domain

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

Calculate

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

Divide the terms

More Steps

Evaluate

\frac{m ^{2}}{m}

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

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

Simplify

m^{2 - 1}

Divide the terms

m

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

Any expression multiplied by 1 remains the same

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

Multiply the terms

More Steps

Multiply the terms

m \times m \times 1 \times m^{2}

Rewrite the expression

m \times m \times m^{2}

Multiply the terms with the same base by adding their exponents

m^{1 + 2} \times m

Add the numbers

m^{3} \times m

Multiply the terms with the same base by adding their exponents

m^{1 + 3}

Add the numbers

m^{4}

m^{4} = 0

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

m = 0

Check if the solution is in the defined range

m = 0, m \neq = 0

Solution

m \in \emptyset

Show Solution