Solve p1/p^2 = p^3/p^4

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Type your math problem... p1/p^2 = p^3/p^4

Question

Solve the equation

p \neq = 0

Evaluate

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

Find the domain

More Steps

Evaluate

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

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

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

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

{p \neq = 0 p \neq = 0

Find the intersection

p \neq = 0

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

Multiply the terms

More Steps

Multiply the terms

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

Cancel out the common factor p

1 \times \frac{1}{p}

Multiply the terms

\frac{1}{p}

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

Divide the terms

More Steps

Evaluate

\frac{p ^{3}}{p ^{4}}

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

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

Reduce the fraction

\frac{1}{p}

\frac{1}{p} = \frac{1}{p}

The statement is true for any value of p

p \in R

Check if the solution is in the defined range

p \in R, p \neq = 0

Solution

p \neq = 0

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