# How do you simplify (x^3*x^4)/x^2 and write it using only positive exponents?

Feb 25, 2017

${x}^{5}$

#### Explanation:

$\frac{{x}^{3} \cdot {x}^{4}}{x} ^ 2 = {x}^{3} \cdot {x}^{4} \cdot {x}^{-} 2$

Remember the rule of indices: ${a}^{m} \times {a}^{n} = {a}^{m + n}$

As a consequence of this rule:

${x}^{3} \times {x}^{4} \times {x}^{-} 2 = {x}^{3 + 4 - 2}$

$= {x}^{5}$