Question

Simplify \frac{6x^3}{2x^9}" align="absmiddle" class="latex-formula">

Answer 1

Answer:

$\frac{3}{ {x}^{6} }$

Step-by-step explanation:

$\frac{6 {x}^{3} }{2x {}^{9} }$

Using the division property of power,

$\frac{ {x}^{n} }{ {x}^{m} } = x {}^{n - m}$

6 and 2 are the real numbers so just divide 2 by 6.

$\frac{6 {x}^{3} }{2 {x}^{9} } = \frac{6}{2} {x}^{3 - 9}$

$3x {}^{ - 6}$

Using the negative properties of power

$x {}^{ - n} = \frac{1}{x {}^{n} }$

Make sure the coefficient in front x, is the numerator.

Since 3 is our coefficient, it will be 3.

$\frac{3}{ {x}^{6} }$