Solve r1 r^2/r1 r^2

Question

Simplify the expression

r^{4}

Evaluate

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

Remove the parentheses

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

Divide the terms

More Steps

Evaluate

\frac{r ^{2}}{r}

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

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

Simplify

r^{2 - 1}

Divide the terms

r

r \times 1 \times r \times 1 \times r^{2}

Rewrite the expression

r \times r \times r^{2}

Multiply the terms with the same base by adding their exponents

r^{1 + 2} \times r

Add the numbers

r^{3} \times r

Multiply the terms with the same base by adding their exponents

r^{1 + 3}

Solution

r^{4}

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r = 0

Evaluate

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

Solution

r = 0

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r \in \emptyset

Evaluate

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

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

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

Find the domain

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

Calculate

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

Divide the terms

More Steps

Evaluate

\frac{r ^{2}}{r}

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

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

Simplify

r^{2 - 1}

Divide the terms

r

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

Any expression multiplied by 1 remains the same

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

Multiply the terms

More Steps

Multiply the terms

r \times r \times 1 \times r^{2}

Rewrite the expression

r \times r \times r^{2}

Multiply the terms with the same base by adding their exponents

r^{1 + 2} \times r

Add the numbers

r^{3} \times r

Multiply the terms with the same base by adding their exponents

r^{1 + 3}

Add the numbers

r^{4}

r^{4} = 0

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

r = 0

Check if the solution is in the defined range

r = 0, r \neq = 0

Solution

r \in \emptyset

Show Solution