Solve r1/r^2=r^3/r^4

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Example problems

Type your math problem... r1/r^2=r^3/r^4

Question

Solve the equation

r \neq = 0

Evaluate

r \times \frac{1}{r ^{2}} = \frac{r ^{3}}{r ^{4}}

Find the domain

More Steps

Evaluate

{r^{2} \neq = 0 r^{4} \neq = 0

The only way a power can not be 0 is when the base not equals 0

{r \neq = 0 r^{4} \neq = 0

The only way a power can not be 0 is when the base not equals 0

{r \neq = 0 r \neq = 0

Find the intersection

r \neq = 0

r \times \frac{1}{r ^{2}} = \frac{r ^{3}}{r ^{4}}, r \neq = 0

Multiply the terms

More Steps

Multiply the terms

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

Cancel out the common factor r

1 \times \frac{1}{r}

Multiply the terms

\frac{1}{r}

\frac{1}{r} = \frac{r ^{3}}{r ^{4}}

Divide the terms

More Steps

Evaluate

\frac{r ^{3}}{r ^{4}}

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

\frac{1}{r ^{4 - 3}}

Reduce the fraction

\frac{1}{r}

\frac{1}{r} = \frac{1}{r}

The statement is true for any value of r

r \in R

Check if the solution is in the defined range

r \in R, r \neq = 0

Solution

r \neq = 0

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