simplify (-6/x)^3

Solution

simplify

(- \frac{6}{x})^{3}

- \frac{216}{x ^{3}}

Solution steps

(- \frac{6}{x})^{3}

Apply exponent rule:

(- a)^{n} = - a^{n},

n

is odd

(- \frac{6}{x})^{3} = - (\frac{6}{x})^{3}

= - (\frac{6}{x})^{3}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{6}{x})^{3} = \frac{6 ^{3}}{x ^{3}}

= - \frac{6 ^{3}}{x ^{3}}

6^{3} = 216

= - \frac{216}{x ^{3}}

8 x + 12 y

+ 19 x^{4} y^{3} + 57 x^{5} y

\frac{\frac{3}{2}}{1}

\frac{4}{7 - 3}

\frac{- 2 + 2 ( 3 )}{4} + 4 (- 2)